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464028912 = 243789149
BaseRepresentation
bin11011101010001…
…000010011110000
31012100011010000000
4123222020103300
51422242411122
6114013430000
714333115654
oct3352102360
91170133000
10464028912
11218a28876
1210b49b300
137519c329
14458b0a64
152ab100ac
hex1ba884f0

464028912 has 160 divisors (see below), whose sum is σ = 1372680000. Its totient is φ = 151911936.

The previous prime is 464028907. The next prime is 464028937. The reversal of 464028912 is 219820464.

464028912 is a `hidden beast` number, since 4 + 640 + 2 + 8 + 9 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3114214 + ... + 3114362.

It is an arithmetic number, because the mean of its divisors is an integer number (8579250).

Almost surely, 2464028912 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 464028912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686340000).

464028912 is an abundant number, since it is smaller than the sum of its proper divisors (908651088).

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

464028912 is an equidigital number, since it uses as much as digits as its factorization.

464028912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 464028912 is about 21541.3303210363. The cubic root of 464028912 is about 774.1914075021.

The spelling of 464028912 in words is "four hundred sixty-four million, twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 149 162 178 216 243 267 298 324 356 432 447 486 534 596 648 712 729 801 894 972 1068 1192 1296 1341 1424 1458 1602 1788 1944 2136 2187 2384 2403 2682 2916 3204 3576 3888 4023 4272 4374 4806 5364 5832 6408 7152 7209 8046 8748 9612 10728 11664 12069 12816 13261 14418 16092 17496 19224 21456 21627 24138 26522 28836 32184 34992 36207 38448 39783 43254 48276 53044 57672 64368 64881 72414 79566 86508 96552 106088 108621 115344 119349 129762 144828 159132 173016 193104 194643 212176 217242 238698 259524 289656 318264 325863 346032 358047 389286 434484 477396 519048 579312 636528 651726 716094 778572 868968 954792 1038096 1074141 1303452 1432188 1557144 1737936 1909584 2148282 2606904 2864376 3114288 3222423 4296564 5213808 5728752 6444846 8593128 9667269 12889692 17186256 19334538 25779384 29001807 38669076 51558768 58003614 77338152 116007228 154676304 232014456 464028912