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42907368 = 2337972633
BaseRepresentation
bin1010001110101…
…1011011101000
32222201220211210
42203223123220
541441013433
64131353120
71030464240
oct243533350
988656753
1042907368
1122246a39
12124527a0
138b73c9a
1459acb20
153b78463
hex28eb6e8

42907368 has 64 divisors (see below), whose sum is σ = 123903360. Its totient is φ = 12128256.

The previous prime is 42907367. The next prime is 42907373. The reversal of 42907368 is 86370924.

It is not an unprimeable number, because it can be changed into a prime (42907367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14980 + ... + 17612.

It is an arithmetic number, because the mean of its divisors is an integer number (1935990).

Almost surely, 242907368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42907368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61951680).

42907368 is an abundant number, since it is smaller than the sum of its proper divisors (80995992).

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

42907368 is a wasteful number, since it uses less digits than its factorization.

42907368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2742 counting only the distinct ones).

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

The square root of 42907368 is about 6550.3715925129. The cubic root of 42907368 is about 350.0880540357.

The spelling of 42907368 in words is "forty-two million, nine hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2633 2716 4074 5266 5432 7899 8148 10532 15798 16296 18431 21064 31596 36862 55293 63192 73724 110586 147448 221172 255401 442344 510802 766203 1021604 1532406 1787807 2043208 3064812 3575614 5363421 6129624 7151228 10726842 14302456 21453684 42907368