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52115756 = 22711414127
BaseRepresentation
bin1100011011001…
…1100100101100
310122001202101012
43012303210230
5101320201011
65101004352
71201655660
oct306634454
9118052335
1052115756
1127466380
12155536b8
13aa49434
146cc88a0
154896a8b
hex31b392c

52115756 has 48 divisors (see below), whose sum is σ = 116508672. Its totient is φ = 19804800.

The previous prime is 52115737. The next prime is 52115771. The reversal of 52115756 is 65751125.

52115756 = 2752 + 2762 + ... + 5612.

52115756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 10565 + ... + 14691.

It is an arithmetic number, because the mean of its divisors is an integer number (2427264).

Almost surely, 252115756 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 52115756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254336).

52115756 is an abundant number, since it is smaller than the sum of its proper divisors (64392916).

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

52115756 is a wasteful number, since it uses less digits than its factorization.

52115756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4188 counting only the distinct ones).

The product of its digits is 10500, while the sum is 32.

The square root of 52115756 is about 7219.1243236282. The cubic root of 52115756 is about 373.5278723211.

The spelling of 52115756 in words is "fifty-two million, one hundred fifteen thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3157 4127 6314 8254 12628 16508 28889 45397 57778 90794 115556 169207 181588 317779 338414 635558 676828 1184449 1271116 1861277 2368898 3722554 4737796 7445108 13028939 26057878 52115756