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42903008 = 253161709
BaseRepresentation
bin1010001110101…
…0010111100000
32222201200212022
42203222113200
541440344013
64131321012
71030445441
oct243522740
988650768
1042903008
1122243735
1212450168
138b71cc5
1459ab2c8
153b77008
hex28ea5e0

42903008 has 48 divisors (see below), whose sum is σ = 88744320. Its totient is φ = 20390400.

The previous prime is 42902999. The next prime is 42903037. The reversal of 42903008 is 80030924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60158 + ... + 60866.

It is an arithmetic number, because the mean of its divisors is an integer number (1848840).

Almost surely, 242903008 is an apocalyptic number.

42903008 is the 3782-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42903008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44372160).

42903008 is an abundant number, since it is smaller than the sum of its proper divisors (45841312).

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

42903008 is a wasteful number, since it uses less digits than its factorization.

42903008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 42903008 is about 6550.0387785112. The cubic root of 42903008 is about 350.0761956558.

The spelling of 42903008 in words is "forty-two million, nine hundred three thousand, eight".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 244 248 488 496 709 976 992 1418 1891 1952 2836 3782 5672 7564 11344 15128 21979 22688 30256 43249 43958 60512 86498 87916 172996 175832 345992 351664 691984 703328 1340719 1383968 2681438 5362876 10725752 21451504 42903008