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42427392 = 210371973
BaseRepresentation
bin1010000111011…
…0010000000000
32221211112102220
42201312100000
541330134032
64113211040
71023425010
oct241662000
987745386
1042427392
1121a49367
1212260a80
138a36687
1458c5c40
153ad112c
hex2876400

42427392 has 88 divisors (see below), whose sum is σ = 129304896. Its totient is φ = 12115968.

The previous prime is 42427351. The next prime is 42427409. The reversal of 42427392 is 29372424.

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, 20518 + ... + 22490.

Almost surely, 242427392 is an apocalyptic number.

42427392 is a gapful number since it is divisible by the number (42) 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 42427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64652448).

42427392 is an abundant number, since it is smaller than the sum of its proper divisors (86877504).

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

42427392 is a wasteful number, since it uses less digits than its factorization.

42427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1985 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 42427392 is about 6513.6312453193. The cubic root of 42427392 is about 348.7777557848. Note that the first 4 decimals are identical.

The spelling of 42427392 in words is "forty-two million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1973 2688 3072 3584 3946 5376 5919 7168 7892 10752 11838 13811 15784 21504 23676 27622 31568 41433 47352 55244 63136 82866 94704 110488 126272 165732 189408 220976 252544 331464 378816 441952 505088 662928 757632 883904 1010176 1325856 1515264 1767808 2020352 2651712 3030528 3535616 5303424 6061056 7071232 10606848 14142464 21213696 42427392