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42491960 = 2357295233
BaseRepresentation
bin1010001000011…
…0000000111000
32221221211000022
42202012000320
541334220320
64114430012
71024114160
oct242060070
987854008
1042491960
1121a92925
1212292308
138a59b94
1459015a0
153ae5325
hex2886038

42491960 has 64 divisors (see below), whose sum is σ = 113054400. Its totient is φ = 14063616.

The previous prime is 42491927. The next prime is 42492019. The reversal of 42491960 is 6919424.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42491960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5504 + ... + 10736.

It is an arithmetic number, because the mean of its divisors is an integer number (1766475).

Almost surely, 242491960 is an apocalyptic number.

42491960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42491960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56527200).

42491960 is an abundant number, since it is smaller than the sum of its proper divisors (70562440).

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

42491960 is a wasteful number, since it uses less digits than its factorization.

42491960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 42491960 is about 6518.5857361854. The cubic root of 42491960 is about 348.9545949036.

The spelling of 42491960 in words is "forty-two million, four hundred ninety-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 5233 8120 10466 20932 26165 36631 41864 52330 73262 104660 146524 151757 183155 209320 293048 303514 366310 607028 732620 758785 1062299 1214056 1465240 1517570 2124598 3035140 4249196 5311495 6070280 8498392 10622990 21245980 42491960