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42131488 = 2571271481
BaseRepresentation
bin1010000010111…
…0000000100000
32221021111112111
42200232000200
541241201423
64103005104
71021053220
oct240560040
987244474
1042131488
1121867013
1212139794
138961a99
14584a080
153a7360d
hex282e020

42131488 has 48 divisors (see below), whose sum is σ = 95606784. Its totient is φ = 17902080.

The previous prime is 42131483. The next prime is 42131489. The reversal of 42131488 is 88413124.

It is not an unprimeable number, because it can be changed into a prime (42131483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27708 + ... + 29188.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 242131488 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 42131488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47803392).

42131488 is an abundant number, since it is smaller than the sum of its proper divisors (53475296).

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

42131488 is a wasteful number, since it uses less digits than its factorization.

42131488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1617 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 42131488 is about 6490.8772904747. The cubic root of 42131488 is about 347.9650292952.

The spelling of 42131488 in words is "forty-two million, one hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 889 1016 1481 1778 2032 2962 3556 4064 5924 7112 10367 11848 14224 20734 23696 28448 41468 47392 82936 165872 188087 331744 376174 752348 1316609 1504696 2633218 3009392 5266436 6018784 10532872 21065744 42131488