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475481472 = 2733159677
BaseRepresentation
bin11100010101110…
…100010110000000
31020010200221221220
4130111310112000
51433210401342
6115103115040
714532345234
oct3425642600
91203627856
10475481472
112244402a4
121132a2a80
137767c0ab
14472125c4
152bb235ec
hex1c574580

475481472 has 128 divisors (see below), whose sum is σ = 1327795200. Its totient is φ = 150558720.

The previous prime is 475481467. The next prime is 475481473. The reversal of 475481472 is 274184574.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (250880) is a multiple of the sum of its prime factors (784).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475481473) 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, 701998 + ... + 702674.

It is an arithmetic number, because the mean of its divisors is an integer number (10373400).

Almost surely, 2475481472 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 475481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663897600).

475481472 is an abundant number, since it is smaller than the sum of its proper divisors (852313728).

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

475481472 is a wasteful number, since it uses less digits than its factorization.

475481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 475481472 is about 21805.5376452863. The cubic root of 475481472 is about 780.5089118062.

The spelling of 475481472 in words is "four hundred seventy-five million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 59 62 64 93 96 118 124 128 177 186 192 236 248 354 372 384 472 496 677 708 744 944 992 1354 1416 1488 1829 1888 1984 2031 2708 2832 2976 3658 3776 3968 4062 5416 5487 5664 5952 7316 7552 8124 10832 10974 11328 11904 14632 16248 20987 21664 21948 22656 29264 32496 39943 41974 43328 43896 58528 62961 64992 79886 83948 86656 87792 117056 119829 125922 129984 159772 167896 175584 234112 239658 251844 259968 319544 335792 351168 479316 503688 639088 671584 702336 958632 1007376 1238233 1278176 1343168 1917264 2014752 2476466 2556352 2686336 3714699 3834528 4029504 4952932 5112704 7429398 7669056 8059008 9905864 14858796 15338112 19811728 29717592 39623456 59435184 79246912 118870368 158493824 237740736 475481472