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42966408 = 2335933019
BaseRepresentation
bin1010001111100…
…1110110001000
32222211220211110
42203321312020
541444411113
64132530320
71031131332
oct243716610
988756743
1042966408
1122287331
12124809a0
138b94b14
1459c6452
153b8abc3
hex28f9d88

42966408 has 32 divisors (see below), whose sum is σ = 107632800. Its totient is φ = 14293248.

The previous prime is 42966397. The next prime is 42966409. The reversal of 42966408 is 80466924.

42966408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×429664082 = 3692224432844928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42966409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12723 + ... + 15741.

It is an arithmetic number, because the mean of its divisors is an integer number (3363525).

Almost surely, 242966408 is an apocalyptic number.

It is an amenable number.

42966408 is an abundant number, since it is smaller than the sum of its proper divisors (64666392).

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

42966408 is a wasteful number, since it uses less digits than its factorization.

42966408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 42966408 is about 6554.8766578785. The cubic root of 42966408 is about 350.2485527001.

The spelling of 42966408 in words is "forty-two million, nine hundred sixty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 593 1186 1779 2372 3019 3558 4744 6038 7116 9057 12076 14232 18114 24152 36228 72456 1790267 3580534 5370801 7161068 10741602 14322136 21483204 42966408