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475972304 = 24232515153
BaseRepresentation
bin11100010111101…
…100001011010000
31020011121220020212
4130113230023100
51433322103204
6115121423252
714536461233
oct3427541320
91204556225
10475972304
11224746045
1211349ab28
13777c1622
14472dd41a
152bbbdc6e
hex1c5ec2d0

475972304 has 40 divisors (see below), whose sum is σ = 966313152. Its totient is φ = 226688000.

The previous prime is 475972303. The next prime is 475972309. The reversal of 475972304 is 403279574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475972303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89792 + ... + 94944.

Almost surely, 2475972304 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 475972304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483156576).

475972304 is an abundant number, since it is smaller than the sum of its proper divisors (490340848).

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

475972304 is a wasteful number, since it uses less digits than its factorization.

475972304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 475972304 is about 21816.7894979990. The cubic root of 475972304 is about 780.7773884459. Note that the first 3 decimals are identical.

The spelling of 475972304 in words is "four hundred seventy-five million, nine hundred seventy-two thousand, three hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 251 368 502 1004 2008 4016 5153 5773 10306 11546 20612 23092 41224 46184 82448 92368 118519 237038 474076 948152 1293403 1896304 2586806 5173612 10347224 20694448 29748269 59496538 118993076 237986152 475972304