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42465792 = 29327647
BaseRepresentation
bin1010000111111…
…1101000000000
32221220111010010
42201333220000
541332401132
64114104520
71023644655
oct241775000
987814103
1042465792
1121a751a6
121227b140
138a4acb5
1458d5c2c
153adc6cc
hex287fa00

42465792 has 40 divisors (see below), whose sum is σ = 113135616. Its totient is φ = 14154752.

The previous prime is 42465763. The next prime is 42465799. The reversal of 42465792 is 29756424.

It is a self number, because there is not a number n which added to its sum of digits gives 42465792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42465799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12288 + ... + 15359.

Almost surely, 242465792 is an apocalyptic number.

It is an amenable number.

42465792 is an abundant number, since it is smaller than the sum of its proper divisors (70669824).

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

42465792 is an equidigital number, since it uses as much as digits as its factorization.

42465792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27668 (or 27652 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 42465792 is about 6516.5782432194. The cubic root of 42465792 is about 348.8829474754.

The spelling of 42465792 in words is "forty-two million, four hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 27647 55294 82941 110588 165882 221176 331764 442352 663528 884704 1327056 1769408 2654112 3538816 5308224 7077632 10616448 14155264 21232896 42465792