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475742976 = 2831932603
BaseRepresentation
bin11100010110110…
…100001100000000
31020011012020200020
4130112310030000
51433242233401
6115112453440
714534514522
oct3426641400
91204166606
10475742976
112245a9815
121133aa280
1377741127
144727da12
152bb75d36
hex1c5b4300

475742976 has 72 divisors (see below), whose sum is σ = 1332851520. Its totient is φ = 150230016.

The previous prime is 475742959. The next prime is 475742987. The reversal of 475742976 is 679247574.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1710 + ... + 30893.

Almost surely, 2475742976 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 475742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666425760).

475742976 is an abundant number, since it is smaller than the sum of its proper divisors (857108544).

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

475742976 is a wasteful number, since it uses less digits than its factorization.

475742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32641 (or 32627 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 475742976 is about 21811.5330960481. The cubic root of 475742976 is about 780.6519729684.

The spelling of 475742976 in words is "four hundred seventy-five million, seven hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 32603 65206 97809 130412 195618 260824 391236 521648 619457 782472 1043296 1238914 1564944 1858371 2086592 2477828 3129888 3716742 4173184 4955656 6259776 7433484 8346368 9911312 12519552 14866968 19822624 25039104 29733936 39645248 59467872 79290496 118935744 158580992 237871488 475742976