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42375672 = 23324091439
BaseRepresentation
bin1010000110100…
…1100111111000
32221201220111100
42201221213320
541322010142
64112131400
71023121143
oct241514770
987656440
1042375672
1121a13519
1212236b60
138a18c81
1458b105a
153ac0b4c
hex28699f8

42375672 has 48 divisors (see below), whose sum is σ = 115128000. Its totient is φ = 14080896.

The previous prime is 42375653. The next prime is 42375689. The reversal of 42375672 is 27657324.

It is a happy number.

42375672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28729 + ... + 30167.

It is an arithmetic number, because the mean of its divisors is an integer number (2398500).

Almost surely, 242375672 is an apocalyptic number.

It is an amenable number.

42375672 is an abundant number, since it is smaller than the sum of its proper divisors (72752328).

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

42375672 is a wasteful number, since it uses less digits than its factorization.

42375672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1853 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 42375672 is about 6509.6598989502. The cubic root of 42375672 is about 348.6359753646.

The spelling of 42375672 in words is "forty-two million, three hundred seventy-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409 818 1227 1439 1636 2454 2878 3272 3681 4317 4908 5756 7362 8634 9816 11512 12951 14724 17268 25902 29448 34536 51804 103608 588551 1177102 1765653 2354204 3531306 4708408 5296959 7062612 10593918 14125224 21187836 42375672