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42081696 = 2532146117
BaseRepresentation
bin1010000010000…
…1110110100000
32221011222020100
42200201312200
541233103241
64101542400
71020455106
oct240416640
987158210
1042081696
1121832668
1212114a00
138945217
145835c76
153a639b6
hex2821da0

42081696 has 36 divisors (see below), whose sum is σ = 119670642. Its totient is φ = 14027136.

The previous prime is 42081671. The next prime is 42081701. The reversal of 42081696 is 69618024.

It can be written as a sum of positive squares in only one way, i.e., 29550096 + 12531600 = 5436^2 + 3540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42081696.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72771 + ... + 73346.

Almost surely, 242081696 is an apocalyptic number.

It is an amenable number.

42081696 is an abundant number, since it is smaller than the sum of its proper divisors (77588946).

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

42081696 is a wasteful number, since it uses less digits than its factorization.

42081696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146133 (or 146122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42081696 is about 6487.0406195738. The cubic root of 42081696 is about 347.8278974616.

The spelling of 42081696 in words is "forty-two million, eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 146117 292234 438351 584468 876702 1168936 1315053 1753404 2337872 2630106 3506808 4675744 5260212 7013616 10520424 14027232 21040848 42081696