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42901608 = 23317711481
BaseRepresentation
bin1010001110101…
…0000001101000
32222201121221110
42203222001220
541440322413
64131310320
71030441401
oct243520150
988647843
1042901608
1122242682
121244b3a0
138b71489
1459aa9a8
153b768c3
hex28ea068

42901608 has 64 divisors (see below), whose sum is σ = 115240320. Its totient is φ = 13260800.

The previous prime is 42901597. The next prime is 42901609. The reversal of 42901608 is 80610924.

It is not an unprimeable number, because it can be changed into a prime (42901609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28228 + ... + 29708.

It is an arithmetic number, because the mean of its divisors is an integer number (1800630).

Almost surely, 242901608 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 42901608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57620160).

42901608 is an abundant number, since it is smaller than the sum of its proper divisors (72338712).

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

42901608 is a wasteful number, since it uses less digits than its factorization.

42901608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 42901608 is about 6549.9319080430. The cubic root of 42901608 is about 350.0723877487.

The spelling of 42901608 in words is "forty-two million, nine hundred one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1481 1704 2414 2962 3621 4443 4828 5924 7242 8886 9656 11848 14484 17772 25177 28968 35544 50354 75531 100708 105151 151062 201416 210302 302124 315453 420604 604248 630906 841208 1261812 1787567 2523624 3575134 5362701 7150268 10725402 14300536 21450804 42901608