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42376160 = 25559672
BaseRepresentation
bin1010000110100…
…1101111100000
32221201221011102
42201221233200
541322014120
64112133532
71023122441
oct241515740
987657142
1042376160
1121a13922
12122372a8
138a19268
1458b12c8
153ac0d75
hex2869be0

42376160 has 72 divisors (see below), whose sum is σ = 103352760. Its totient is φ = 16414464.

The previous prime is 42376129. The next prime is 42376181. The reversal of 42376160 is 6167324.

It is a congruent 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, 632447 + ... + 632513.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455).

Almost surely, 242376160 is an apocalyptic number.

42376160 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 42376160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51676380).

42376160 is an abundant number, since it is smaller than the sum of its proper divisors (60976600).

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

42376160 is an equidigital number, since it uses as much as digits as its factorization.

42376160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 42376160 is about 6509.6973815992. The cubic root of 42376160 is about 348.6373136616.

The spelling of 42376160 in words is "forty-two million, three hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 67 80 118 134 160 236 268 295 335 472 536 590 670 944 1072 1180 1340 1888 2144 2360 2680 3953 4489 4720 5360 7906 8978 9440 10720 15812 17956 19765 22445 31624 35912 39530 44890 63248 71824 79060 89780 126496 143648 158120 179560 264851 316240 359120 529702 632480 718240 1059404 1324255 2118808 2648510 4237616 5297020 8475232 10594040 21188080 42376160