[go: up one dir, main page]

Search a number
-
+
52541352 = 2333347701
BaseRepresentation
bin1100100001101…
…1011110101000
310122212101012000
43020123132220
5101422310402
65114051000
71205410533
oct310333650
9118771160
1052541352
1127727106
1215719a60
13ab68076
146d99a1a
15492cc1c
hex321b7a8

52541352 has 64 divisors (see below), whose sum is σ = 146577600. Its totient is φ = 17438400.

The previous prime is 52541323. The next prime is 52541371. The reversal of 52541352 is 25314525.

It is a happy number.

52541352 is a `hidden beast` number, since 525 + 4 + 135 + 2 = 666.

52541352 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74602 + ... + 75302.

It is an arithmetic number, because the mean of its divisors is an integer number (2290275).

Almost surely, 252541352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52541352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73288800).

52541352 is an abundant number, since it is smaller than the sum of its proper divisors (94036248).

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

52541352 is a wasteful number, since it uses less digits than its factorization.

52541352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 52541352 is about 7248.5413705103. The cubic root of 52541352 is about 374.5419046242.

Adding to 52541352 its reverse (25314525), we get a palindrome (77855877).

The spelling of 52541352 in words is "fifty-two million, five hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 694 701 1041 1388 1402 2082 2103 2776 2804 3123 4164 4206 5608 6246 6309 8328 8412 9369 12492 12618 16824 18738 18927 24984 25236 37476 37854 50472 74952 75708 151416 243247 486494 729741 972988 1459482 1945976 2189223 2918964 4378446 5837928 6567669 8756892 13135338 17513784 26270676 52541352