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465042864 = 243111367751
BaseRepresentation
bin11011101101111…
…111110110110000
31012102001121212210
4123231333312300
51423022332424
6114051252120
714344541046
oct3355776660
91172047783
10465042864
11219560650
1210b8aa040
13754659c0
1445a96396
152ac60729
hex1bb7fdb0

465042864 has 80 divisors (see below), whose sum is σ = 1411409664. Its totient is φ = 130080000.

The previous prime is 465042859. The next prime is 465042881. The reversal of 465042864 is 468240564.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27012 + ... + 40739.

Almost surely, 2465042864 is an apocalyptic number.

465042864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465042864 is an abundant number, since it is smaller than the sum of its proper divisors (946366800).

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

465042864 is a wasteful number, since it uses less digits than its factorization.

465042864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67786 (or 67780 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 465042864 is about 21564.8525151460. The cubic root of 465042864 is about 774.7548938387.

The spelling of 465042864 in words is "four hundred sixty-five million, forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 67751 135502 203253 271004 406506 542008 745261 813012 880763 1084016 1490522 1626024 1761526 2235783 2642289 2981044 3252048 3523052 4471566 5284578 5962088 7046104 8943132 9688393 10569156 11924176 14092208 17886264 19376786 21138312 29065179 35772528 38753572 42276624 58130358 77507144 116260716 155014288 232521432 465042864