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42131790 = 23253115101
BaseRepresentation
bin1010000010111…
…0000101001110
32221021111221200
42200232011032
541241204130
64103010330
71021054131
oct240560516
987244850
1042131790
1121867268
12121399a6
138961c6c
14584a218
153a73760
hex282e14e

42131790 has 48 divisors (see below), whose sum is σ = 113083776. Its totient is φ = 10872000.

The previous prime is 42131779. The next prime is 42131807. The reversal of 42131790 is 9713124.

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 23 ways as a sum of consecutive naturals, for example, 4761 + ... + 10340.

It is an arithmetic number, because the mean of its divisors is an integer number (2355912).

Almost surely, 242131790 is an apocalyptic number.

42131790 is an abundant number, since it is smaller than the sum of its proper divisors (70951986).

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

42131790 is a wasteful number, since it uses less digits than its factorization.

42131790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15145 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 42131790 is about 6490.9005538523. The cubic root of 42131790 is about 347.9658607017.

The spelling of 42131790 in words is "forty-two million, one hundred thirty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 15101 30202 45303 75505 90606 135909 151010 226515 271818 453030 468131 679545 936262 1359090 1404393 2340655 2808786 4213179 4681310 7021965 8426358 14043930 21065895 42131790