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42166152 = 2332783663
BaseRepresentation
bin1010000011011…
…0011110001000
32221100021002100
42200312132020
541243304102
64103433400
71021256250
oct240663610
987307070
1042166152
1121890066
1212155860
1389747b2
145858960
153a7da1c
hex2836788

42166152 has 48 divisors (see below), whose sum is σ = 130515840. Its totient is φ = 12047328.

The previous prime is 42166147. The next prime is 42166177. The reversal of 42166152 is 25166124.

42166152 is a `hidden beast` number, since 42 + 1 + 6 + 615 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41328 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (2719080).

Almost surely, 242166152 is an apocalyptic number.

42166152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42166152 is an abundant number, since it is smaller than the sum of its proper divisors (88349688).

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

42166152 is a wasteful number, since it uses less digits than its factorization.

42166152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83682 (or 83675 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 42166152 is about 6493.5469506272. The cubic root of 42166152 is about 348.0604334205.

The spelling of 42166152 in words is "forty-two million, one hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 83663 167326 250989 334652 501978 585641 669304 752967 1003956 1171282 1505934 1756923 2007912 2342564 3011868 3513846 4685128 5270769 6023736 7027692 10541538 14055384 21083076 42166152