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42902136 = 233529761
BaseRepresentation
bin1010001110101…
…0001001111000
32222201122200000
42203222021320
541440332021
64131313000
71030443054
oct243521170
988648600
1042902136
1122243012
121244b760
138b717a4
1459aac64
153b76b26
hex28ea278

42902136 has 96 divisors (see below), whose sum is σ = 124815600. Its totient is φ = 13789440.

The previous prime is 42902099. The next prime is 42902137. The reversal of 42902136 is 63120924.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42902137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55996 + ... + 56756.

Almost surely, 242902136 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 42902136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62407800).

42902136 is an abundant number, since it is smaller than the sum of its proper divisors (81913464).

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

42902136 is a wasteful number, since it uses less digits than its factorization.

42902136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42902136 is about 6549.9722136815. The cubic root of 42902136 is about 350.0738238834.

The spelling of 42902136 in words is "forty-two million, nine hundred two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 761 783 972 1044 1522 1566 1944 2088 2283 2349 3044 3132 4566 4698 6088 6264 6849 7047 9132 9396 13698 14094 18264 18792 20547 22069 27396 28188 41094 44138 54792 56376 61641 66207 82188 88276 123282 132414 164376 176552 184923 198621 246564 264828 369846 397242 493128 529656 595863 739692 794484 1191726 1479384 1588968 1787589 2383452 3575178 4766904 5362767 7150356 10725534 14300712 21451068 42902136