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42994272 = 2533114447
BaseRepresentation
bin1010010000000…
…0101001100000
32222220100001110
42210000221200
542001304042
64133303320
71031305506
oct244005140
988810043
1042994272
11222a6262
1212494b40
138ba46c9
1459d2676
153b9409c
hex2900a60

42994272 has 48 divisors (see below), whose sum is σ = 116508672. Its totient is φ = 13868160.

The previous prime is 42994271. The next prime is 42994277. The reversal of 42994272 is 27249924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42994272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42994271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4248 + ... + 10199.

It is an arithmetic number, because the mean of its divisors is an integer number (2427264).

Almost surely, 242994272 is an apocalyptic number.

It is an amenable number.

42994272 is an abundant number, since it is smaller than the sum of its proper divisors (73514400).

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

42994272 is a wasteful number, since it uses less digits than its factorization.

42994272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14491 (or 14483 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 42994272 is about 6557.0017538506. The cubic root of 42994272 is about 350.3242491742.

The spelling of 42994272 in words is "forty-two million, nine hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 14447 28894 43341 57788 86682 115576 173364 231152 346728 447857 462304 693456 895714 1343571 1386912 1791428 2687142 3582856 5374284 7165712 10748568 14331424 21497136 42994272