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42233904 = 2432319461
BaseRepresentation
bin1010000100011…
…1000000110000
32221110201000200
42201013000300
541302441104
64105115200
71021660626
oct241070060
987421020
1042233904
1121926a59
1212188b00
13899959b
145875516
153a93b39
hex2847030

42233904 has 60 divisors (see below), whose sum is σ = 122021952. Its totient is φ = 13622400.

The previous prime is 42233887. The next prime is 42233927. The reversal of 42233904 is 40933224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 9194.

Almost surely, 242233904 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 42233904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61010976).

42233904 is an abundant number, since it is smaller than the sum of its proper divisors (79788048).

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

42233904 is a wasteful number, since it uses less digits than its factorization.

42233904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9506 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42233904 is about 6498.7617282064. The cubic root of 42233904 is about 348.2467532555.

The spelling of 42233904 in words is "forty-two million, two hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9461 18922 28383 37844 56766 75688 85149 113532 151376 170298 227064 293291 340596 454128 586582 681192 879873 1173164 1362384 1759746 2346328 2639619 3519492 4692656 5279238 7038984 10558476 14077968 21116952 42233904