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42217960 = 2358631223
BaseRepresentation
bin1010000100001…
…1000111101000
32221102220011011
42201003013220
541301433320
64104513304
71021563301
oct241030750
987386134
1042217960
1121915a84
121217b834
138992255
14586d7a8
153a8e05a
hex28431e8

42217960 has 32 divisors (see below), whose sum is σ = 95178240. Its totient is φ = 16853824.

The previous prime is 42217937. The next prime is 42217961. The reversal of 42217960 is 6971224.

It is a super-2 number, since 2×422179602 = 3564712293123200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42217961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33909 + ... + 35131.

It is an arithmetic number, because the mean of its divisors is an integer number (2974320).

Almost surely, 242217960 is an apocalyptic number.

42217960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42217960 is an abundant number, since it is smaller than the sum of its proper divisors (52960280).

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

42217960 is a wasteful number, since it uses less digits than its factorization.

42217960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 42217960 is about 6497.5349171821. The cubic root of 42217960 is about 348.2029247626.

The spelling of 42217960 in words is "forty-two million, two hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 863 1223 1726 2446 3452 4315 4892 6115 6904 8630 9784 12230 17260 24460 34520 48920 1055449 2110898 4221796 5277245 8443592 10554490 21108980 42217960