[go: up one dir, main page]

Search a number
-
+
53155300 = 225211223191
BaseRepresentation
bin1100101011000…
…1010111100100
310201000120100211
43022301113210
5102101432200
65135145204
71213545502
oct312612744
9121016324
1053155300
1128006400
1215975204
13b021653
1470b9672
1549eeaba
hex32b15e4

53155300 has 108 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 18392000.

The previous prime is 53155259. The next prime is 53155301. The reversal of 53155300 is 355135.

It is a happy number.

53155300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (53155301) 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 35 ways as a sum of consecutive naturals, for example, 278205 + ... + 278395.

Almost surely, 253155300 is an apocalyptic number.

53155300 is a gapful number since it is divisible by the number (50) 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 53155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

53155300 is an abundant number, since it is smaller than the sum of its proper divisors (79836188).

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

53155300 is a wasteful number, since it uses less digits than its factorization.

53155300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 22.

The square root of 53155300 is about 7290.7681351144. The cubic root of 53155300 is about 375.9951051875.

The spelling of 53155300 in words is "fifty-three million, one hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 191 220 230 242 253 275 382 460 484 506 550 575 605 764 955 1012 1100 1150 1210 1265 1910 2101 2300 2420 2530 2783 3025 3820 4202 4393 4775 5060 5566 6050 6325 8404 8786 9550 10505 11132 12100 12650 13915 17572 19100 21010 21965 23111 25300 27830 42020 43930 46222 48323 52525 55660 69575 87860 92444 96646 105050 109825 115555 139150 193292 210100 219650 231110 241615 278300 439300 462220 483230 531553 577775 966460 1063106 1155550 1208075 2126212 2311100 2416150 2657765 4832300 5315530 10631060 13288825 26577650 53155300