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472072464 = 243231105751
BaseRepresentation
bin11100001000110…
…100000100010000
31012220021202200100
4130020310010100
51431322304324
6114502052400
714461356363
oct3410640420
91186252610
10472072464
11222522036
1211211a100
1376a57526
14469a60da
152b69d4c9
hex1c234110

472072464 has 60 divisors (see below), whose sum is σ = 1363777792. Its totient is φ = 152280000.

The previous prime is 472072459. The next prime is 472072481. The reversal of 472072464 is 464270274.

It is a happy number.

It is a super-2 number, since 2×4720724642 = 445704822534062592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48412 + ... + 57339.

Almost surely, 2472072464 is an apocalyptic number.

It is an amenable number.

472072464 is an abundant number, since it is smaller than the sum of its proper divisors (891705328).

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

472072464 is a wasteful number, since it uses less digits than its factorization.

472072464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105796 (or 105787 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 472072464 is about 21727.2286313740. The cubic root of 472072464 is about 778.6391260640.

The spelling of 472072464 in words is "four hundred seventy-two million, seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 105751 211502 317253 423004 634506 846008 951759 1269012 1692016 1903518 2538024 3278281 3807036 5076048 6556562 7614072 9834843 13113124 15228144 19669686 26226248 29504529 39339372 52452496 59009058 78678744 118018116 157357488 236036232 472072464