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475661472 = 253111334649
BaseRepresentation
bin11100010110100…
…000010010100000
31020011001002212120
4130112200102200
51433232131342
6115111024240
714534025066
oct3426402240
91204032776
10475661472
11224553560
1211336b080
1377712cc0
144725c036
152bb5baec
hex1c5a04a0

475661472 has 96 divisors (see below), whose sum is σ = 1466942400. Its totient is φ = 133048320.

The previous prime is 475661471. The next prime is 475661477. The reversal of 475661472 is 274166574.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (475661471) 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, 3597 + ... + 31052.

It is an arithmetic number, because the mean of its divisors is an integer number (15280650).

Almost surely, 2475661472 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 475661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733471200).

475661472 is an abundant number, since it is smaller than the sum of its proper divisors (991280928).

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

475661472 is a wasteful number, since it uses less digits than its factorization.

475661472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34686 (or 34678 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 475661472 is about 21809.6646466652. The cubic root of 475661472 is about 780.6073901472.

The spelling of 475661472 in words is "four hundred seventy-five million, six hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 34649 69298 103947 138596 207894 277192 381139 415788 450437 554384 762278 831576 900874 1108768 1143417 1351311 1524556 1663152 1801748 2286834 2702622 3049112 3326304 3603496 4573668 4954807 5405244 6098224 7206992 9147336 9909614 10810488 12196448 14413984 14864421 18294672 19819228 21620976 29728842 36589344 39638456 43241952 59457684 79276912 118915368 158553824 237830736 475661472