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42317952 = 273193571
BaseRepresentation
bin1010000101101…
…1100010000000
32221121222022120
42201123202000
541313133302
64111004240
71022460645
oct241334200
987558276
1042317952
1121984116
1212209680
1389c8911
145897dcc
153aad9bc
hex285b880

42317952 has 64 divisors (see below), whose sum is σ = 113187360. Its totient is φ = 14008320.

The previous prime is 42317941. The next prime is 42317971. The reversal of 42317952 is 25971324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×423179522 = 3581618122948608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73827 + ... + 74397.

Almost surely, 242317952 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 42317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56593680).

42317952 is an abundant number, since it is smaller than the sum of its proper divisors (70869408).

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

42317952 is a wasteful number, since it uses less digits than its factorization.

42317952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 42317952 is about 6505.2249768936. The cubic root of 42317952 is about 348.4776108194.

The spelling of 42317952 in words is "forty-two million, three hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 571 579 772 1142 1158 1544 1713 2284 2316 3088 3426 4568 4632 6176 6852 9136 9264 12352 13704 18272 18528 24704 27408 36544 37056 54816 73088 74112 109632 110203 219264 220406 330609 440812 661218 881624 1322436 1763248 2644872 3526496 5289744 7052992 10579488 14105984 21158976 42317952