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42696864 = 2532721179
BaseRepresentation
bin1010001011100…
…0000010100000
32222100020002100
42202320002200
541412244424
64123050400
71025626440
oct242700240
988306070
1042696864
1122112871
1212370a00
138acc222
145956120
153b35dc9
hex28b80a0

42696864 has 72 divisors (see below), whose sum is σ = 138771360. Its totient is φ = 12198528.

The previous prime is 42696859. The next prime is 42696881. The reversal of 42696864 is 46869624.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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, 8574 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (1927380).

Almost surely, 242696864 is an apocalyptic number.

It is an amenable number.

42696864 is an abundant number, since it is smaller than the sum of its proper divisors (96074496).

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

42696864 is a wasteful number, since it uses less digits than its factorization.

42696864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21202 (or 21191 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 42696864 is about 6534.2837403957. The cubic root of 42696864 is about 349.5146033305.

The spelling of 42696864 in words is "forty-two million, six hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 21179 42358 63537 84716 127074 148253 169432 190611 254148 296506 338864 381222 444759 508296 593012 677728 762444 889518 1016592 1186024 1334277 1524888 1779036 2033184 2372048 2668554 3049776 3558072 4744096 5337108 6099552 7116144 10674216 14232288 21348432 42696864