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42317960 = 235291912
BaseRepresentation
bin1010000101101…
…1100010001000
32221121222022212
42201123202020
541313133320
64111004252
71022460656
oct241334210
987558285
1042317960
1121984123
1212209688
1389c8919
145897dd6
153aad9c5
hex285b888

42317960 has 48 divisors (see below), whose sum is σ = 99017100. Its totient is φ = 16257920.

The previous prime is 42317941. The next prime is 42317971. The reversal of 42317960 is 6971324.

It can be written as a sum of positive squares in 2 ways, for example, as 42172036 + 145924 = 6494^2 + 382^2 .

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, 221465 + ... + 221655.

Almost surely, 242317960 is an apocalyptic number.

42317960 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 42317960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49508550).

42317960 is an abundant number, since it is smaller than the sum of its proper divisors (56699140).

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

42317960 is a wasteful number, since it uses less digits than its factorization.

42317960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 42317960 is about 6505.2255917839. The cubic root of 42317960 is about 348.4776327787.

The spelling of 42317960 in words is "forty-two million, three hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 191 232 290 382 580 764 955 1160 1528 1910 3820 5539 7640 11078 22156 27695 36481 44312 55390 72962 110780 145924 182405 221560 291848 364810 729620 1057949 1459240 2115898 4231796 5289745 8463592 10579490 21158980 42317960