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42231936 = 273711549
BaseRepresentation
bin1010000100011…
…0100010000000
32221110121022210
42201012202000
541302410221
64105102120
71021652115
oct241064200
987417283
1042231936
112192552a
1212187940
138998716
14587490c
153a93276
hex2846880

42231936 has 64 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 13870080.

The previous prime is 42231929. The next prime is 42231967. The reversal of 42231936 is 63913224.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 26490 + ... + 28038.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 242231936 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 42231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

42231936 is an abundant number, since it is smaller than the sum of its proper divisors (71600064).

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

42231936 is a wasteful number, since it uses less digits than its factorization.

42231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1625 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 42231936 is about 6498.6103129823. The cubic root of 42231936 is about 348.2413440133.

The spelling of 42231936 in words is "forty-two million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1549 1704 2272 3098 3408 4544 4647 6196 6816 9088 9294 12392 13632 18588 24784 27264 37176 49568 74352 99136 109979 148704 198272 219958 297408 329937 439916 594816 659874 879832 1319748 1759664 2639496 3519328 5278992 7038656 10557984 14077312 21115968 42231936