[go: up one dir, main page]

Search a number
-
+
53672112 = 24331319503
BaseRepresentation
bin1100110010111…
…1100010110000
310201222211022000
43030233202300
5102220001422
65154214000
71221130314
oct314574260
9121884260
1053672112
112832971a
1215b84300
13b172960
1471b1b44
154aa2cac
hex332f8b0

53672112 has 160 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 15614208.

The previous prime is 53672081. The next prime is 53672117. The reversal of 53672112 is 21127635.

It is a happy number.

53672112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53672117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106453 + ... + 106955.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 253672112 is an apocalyptic number.

53672112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53672112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

53672112 is an abundant number, since it is smaller than the sum of its proper divisors (121316688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53672112 is a wasteful number, since it uses less digits than its factorization.

53672112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 53672112 is about 7326.1253060537. The cubic root of 53672112 is about 377.2097372537.

Adding to 53672112 its reverse (21127635), we get a palindrome (74799747).

The spelling of 53672112 in words is "fifty-three million, six hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 503 513 624 684 702 741 912 936 988 1006 1026 1368 1404 1482 1509 1872 1976 2012 2052 2223 2736 2808 2964 3018 3952 4024 4104 4446 4527 5616 5928 6036 6539 6669 8048 8208 8892 9054 9557 11856 12072 13078 13338 13581 17784 18108 19114 19617 24144 26156 26676 27162 28671 35568 36216 38228 39234 52312 53352 54324 57342 58851 72432 76456 78468 86013 104624 106704 108648 114684 117702 124241 152912 156936 172026 176553 217296 229368 235404 248482 258039 313872 344052 353106 372723 458736 470808 496964 516078 688104 706212 745446 941616 993928 1032156 1118169 1376208 1412424 1490892 1987856 2064312 2236338 2824848 2981784 3354507 4128624 4472676 5963568 6709014 8945352 13418028 17890704 26836056 53672112