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474891264 = 210322272
BaseRepresentation
bin11100010011100…
…100010000000000
31020002120222100100
4130103210100000
51433033010024
6115042322400
714524336431
oct3423442000
91202528310
10474891264
11224077921
12113059400
1377503563
14470db488
152ba587c9
hex1c4e4400

474891264 has 99 divisors (see below), whose sum is σ = 1377305527. Its totient is φ = 157599744.

The previous prime is 474891259. The next prime is 474891271. The reversal of 474891264 is 462198474.

The square root of 474891264 is 21792.

It is a perfect power (a square), and thus also a powerful number.

474891264 is a `hidden beast` number, since 47 + 489 + 126 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2091919 + ... + 2092145.

Almost surely, 2474891264 is an apocalyptic number.

474891264 is the 21792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474891264

474891264 is an abundant number, since it is smaller than the sum of its proper divisors (902414263).

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

474891264 is an equidigital number, since it uses as much as digits as its factorization.

474891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 232 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The cubic root of 474891264 is about 780.1858334341.

The spelling of 474891264 in words is "four hundred seventy-four million, eight hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 256 288 384 454 512 576 681 768 908 1024 1152 1362 1536 1816 2043 2304 2724 3072 3632 4086 4608 5448 7264 8172 9216 10896 14528 16344 21792 29056 32688 43584 51529 58112 65376 87168 103058 116224 130752 154587 174336 206116 232448 261504 309174 348672 412232 463761 523008 618348 697344 824464 927522 1046016 1236696 1648928 1855044 2092032 2473392 3297856 3710088 4946784 6595712 7420176 9893568 13191424 14840352 19787136 26382848 29680704 39574272 52765696 59361408 79148544 118722816 158297088 237445632 474891264