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472331904 = 27311111821
BaseRepresentation
bin11100001001110…
…011011010000000
31012220202221120020
4130021303122000
51431404110104
6114511413440
714463516642
oct3411633200
91186687506
10472331904
11222689a50
12112224280
1376b18645
1446a32892
152b7002d9
hex1c273680

472331904 has 64 divisors (see below), whose sum is σ = 1368701280. Its totient is φ = 143129600.

The previous prime is 472331891. The next prime is 472331911. The reversal of 472331904 is 409133274.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51687 + ... + 60134.

Almost surely, 2472331904 is an apocalyptic number.

472331904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

472331904 is an abundant number, since it is smaller than the sum of its proper divisors (896369376).

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

472331904 is a wasteful number, since it uses less digits than its factorization.

472331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111849 (or 111837 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 472331904 is about 21733.1981999889. The cubic root of 472331904 is about 778.7817405670.

The spelling of 472331904 in words is "four hundred seventy-two million, three hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 111821 223642 335463 447284 670926 894568 1230031 1341852 1789136 2460062 2683704 3578272 3690093 4920124 5367408 7156544 7380186 9840248 10734816 14313088 14760372 19680496 21469632 29520744 39360992 42939264 59041488 78721984 118082976 157443968 236165952 472331904