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42000096 = 253437501
BaseRepresentation
bin1010000000110…
…1111011100000
32221000211022010
42200031323200
541223000341
64100112520
71016665155
oct240157340
987024263
1042000096
1121787326
1212095740
138917038
14581422c
153a49716
hex280dee0

42000096 has 24 divisors (see below), whose sum is σ = 110250504. Its totient is φ = 14000000.

The previous prime is 42000073. The next prime is 42000107. The reversal of 42000096 is 69000024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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, 218655 + ... + 218846.

It is an arithmetic number, because the mean of its divisors is an integer number (4593771).

Almost surely, 242000096 is an apocalyptic number.

It is an amenable number.

42000096 is an abundant number, since it is smaller than the sum of its proper divisors (68250408).

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

42000096 is a wasteful number, since it uses less digits than its factorization.

42000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437514 (or 437506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42000096 is about 6480.7481049644. The cubic root of 42000096 is about 347.6029293286.

The spelling of 42000096 in words is "forty-two million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 437501 875002 1312503 1750004 2625006 3500008 5250012 7000016 10500024 14000032 21000048 42000096