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42930816 = 273111799
BaseRepresentation
bin1010001111000…
…1001010000000
32222210010000020
42203301022000
541442241231
64132053440
71030622505
oct243611200
988703006
1042930816
1122262615
1212464280
138b81866
1459b74ac
153b80396
hex28f1280

42930816 has 32 divisors (see below), whose sum is σ = 114036000. Its totient is φ = 14310144.

The previous prime is 42930809. The next prime is 42930827. The reversal of 42930816 is 61803924.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55516 + ... + 56283.

It is an arithmetic number, because the mean of its divisors is an integer number (3563625).

Almost surely, 242930816 is an apocalyptic number.

It is an amenable number.

42930816 is an abundant number, since it is smaller than the sum of its proper divisors (71105184).

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

42930816 is a wasteful number, since it uses less digits than its factorization.

42930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111816 (or 111804 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 42930816 is about 6552.1611701789. The cubic root of 42930816 is about 350.1518144123.

The spelling of 42930816 in words is "forty-two million, nine hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 111799 223598 335397 447196 670794 894392 1341588 1788784 2683176 3577568 5366352 7155136 10732704 14310272 21465408 42930816