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42157032 = 23313912637
BaseRepresentation
bin1010000011010…
…0001111101000
32221022210120120
42200310033220
541243011112
64103323240
71021220541
oct240641750
987283516
1042157032
1121884225
1212150520
1389705b8
1458554c8
153a7ae8c
hex28343e8

42157032 has 32 divisors (see below), whose sum is σ = 106159200. Its totient is φ = 13950144.

The previous prime is 42157019. The next prime is 42157051. The reversal of 42157032 is 23075124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42156993 and 42157011.

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 7 ways as a sum of consecutive naturals, for example, 2983 + ... + 9654.

It is an arithmetic number, because the mean of its divisors is an integer number (3317475).

Almost surely, 242157032 is an apocalyptic number.

It is an amenable number.

42157032 is an abundant number, since it is smaller than the sum of its proper divisors (64002168).

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

42157032 is a wasteful number, since it uses less digits than its factorization.

42157032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42157032 is about 6492.8446770272. The cubic root of 42157032 is about 348.0353379361.

The spelling of 42157032 in words is "forty-two million, one hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 556 834 1112 1668 3336 12637 25274 37911 50548 75822 101096 151644 303288 1756543 3513086 5269629 7026172 10539258 14052344 21078516 42157032