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465157316 = 2213194310949
BaseRepresentation
bin11011101110011…
…011110011000100
31012102021102212202
4123232123303010
51423040013231
6114053534032
714345525531
oct3356336304
91172242782
10465157316
11219629638
1210b944318
13754a5b20
1445ac5d88
152ac845cb
hex1bb9bcc4

465157316 has 48 divisors (see below), whose sum is σ = 944328000. Its totient is φ = 198640512.

The previous prime is 465157283. The next prime is 465157327. The reversal of 465157316 is 613751564.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 465157316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37010 + ... + 47958.

It is an arithmetic number, because the mean of its divisors is an integer number (19673500).

Almost surely, 2465157316 is an apocalyptic number.

It is an amenable number.

465157316 is an abundant number, since it is smaller than the sum of its proper divisors (479170684).

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

465157316 is a wasteful number, since it uses less digits than its factorization.

465157316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028 (or 11026 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 465157316 is about 21567.5060217912. The cubic root of 465157316 is about 774.8184471013.

The spelling of 465157316 in words is "four hundred sixty-five million, one hundred fifty-seven thousand, three hundred sixteen".

Divisors: 1 2 4 13 19 26 38 43 52 76 86 172 247 494 559 817 988 1118 1634 2236 3268 10621 10949 21242 21898 42484 43796 142337 208031 284674 416062 470807 569348 832124 941614 1883228 2704403 5408806 6120491 8945333 10817612 12240982 17890666 24481964 35781332 116289329 232578658 465157316