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465938052 = 223533791933
BaseRepresentation
bin11011110001011…
…010011010000100
31012110202002211220
4123301122122010
51423240004202
6114122400340
714355256656
oct3361323204
91173662756
10465938052
1121a012178
121100600b0
13756ba2b8
1445c4a6d6
152ad8aabc
hex1bc5a684

465938052 has 48 divisors (see below), whose sum is σ = 1111199040. Its totient is φ = 151901568.

The previous prime is 465938021. The next prime is 465938059. The reversal of 465938052 is 250839564.

It is a junction number, because it is equal to n+sod(n) for n = 465937995 and 465938013.

It is not an unprimeable number, because it can be changed into a prime (465938059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240078 + ... + 242010.

It is an arithmetic number, because the mean of its divisors is an integer number (23149980).

Almost surely, 2465938052 is an apocalyptic number.

It is an amenable number.

465938052 is an abundant number, since it is smaller than the sum of its proper divisors (645260988).

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

465938052 is a wasteful number, since it uses less digits than its factorization.

465938052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 465938052 is about 21585.5982543917. The cubic root of 465938052 is about 775.2516987527.

It can be divided in two parts, 46593 and 8052, that added together give a palindrome (54645).

The spelling of 465938052 in words is "four hundred sixty-five million, nine hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 379 636 758 1137 1516 1933 2274 3866 4548 5799 7732 11598 20087 23196 40174 60261 80348 102449 120522 204898 241044 307347 409796 614694 732607 1229388 1465214 2197821 2930428 4395642 8791284 38828171 77656342 116484513 155312684 232969026 465938052