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42257856 = 263972269
BaseRepresentation
bin1010000100110…
…0110111000000
32221111220212210
42201030313000
541304222411
64105422120
71022120514
oct241146700
987456783
1042257856
1121942a53
121219a940
1389a7464
145880144
153a9aca6
hex284cdc0

42257856 has 56 divisors (see below), whose sum is σ = 113009680. Its totient is φ = 13934592.

The previous prime is 42257837. The next prime is 42257857. The reversal of 42257856 is 65875224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42257857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17490 + ... + 19758.

It is an arithmetic number, because the mean of its divisors is an integer number (2018030).

Almost surely, 242257856 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 42257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504840).

42257856 is an abundant number, since it is smaller than the sum of its proper divisors (70751824).

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

42257856 is a wasteful number, since it uses less digits than its factorization.

42257856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2371 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 42257856 is about 6500.6042796036. The cubic root of 42257856 is about 348.3125742279.

The spelling of 42257856 in words is "forty-two million, two hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2269 2328 3104 4538 4656 6208 6807 9076 9312 13614 18152 18624 27228 36304 54456 72608 108912 145216 217824 220093 435648 440186 660279 880372 1320558 1760744 2641116 3521488 5282232 7042976 10564464 14085952 21128928 42257856