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42331608 = 233211243113
BaseRepresentation
bin1010000101111…
…0110111011000
32221122200001100
42201132313120
541314102413
64111151400
71022545524
oct241366730
987580040
1042331608
1121993400
1212215560
138a01bb7
14589cd84
153ab2a73
hex285edd8

42331608 has 144 divisors (see below), whose sum is σ = 130089960. Its totient is φ = 12418560.

The previous prime is 42331607. The next prime is 42331609. The reversal of 42331608 is 80613324.

It is a happy number.

42331608 is a `hidden beast` number, since 4 + 23 + 31 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (42331607) and next prime (42331609).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374560 + ... + 374672.

Almost surely, 242331608 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 42331608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65044980).

42331608 is an abundant number, since it is smaller than the sum of its proper divisors (87758352).

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

42331608 is a wasteful number, since it uses less digits than its factorization.

42331608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42331608 is about 6506.2745100403. The cubic root of 42331608 is about 348.5150913545.

The spelling of 42331608 in words is "forty-two million, three hundred thirty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 113 121 129 132 172 198 226 242 258 264 339 344 363 387 396 452 473 484 516 678 726 774 792 904 946 968 1017 1032 1089 1243 1356 1419 1452 1548 1892 2034 2178 2486 2712 2838 2904 3096 3729 3784 4068 4257 4356 4859 4972 5203 5676 7458 8136 8514 8712 9718 9944 10406 11187 11352 13673 14577 14916 15609 17028 19436 20812 22374 27346 29154 29832 31218 34056 38872 41019 41624 43731 44748 46827 53449 54692 58308 62436 82038 87462 89496 93654 106898 109384 116616 123057 124872 160347 164076 174924 187308 213796 246114 320694 328152 349848 374616 427592 481041 492228 587939 641388 962082 984456 1175878 1282776 1763817 1924164 2351756 3527634 3848328 4703512 5291451 7055268 10582902 14110536 21165804 42331608