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42106956 = 22329120997
BaseRepresentation
bin1010000010100…
…0000001001100
32221020020212220
42200220001030
541234410311
64102255340
71020621543
oct240500114
987206786
1042106956
112184a641
1212127550
138953878
14584115a
153a6b206
hex282804c

42106956 has 24 divisors (see below), whose sum is σ = 101638320. Its totient is φ = 13551552.

The previous prime is 42106919. The next prime is 42106957. The reversal of 42106956 is 65960124.

It is not an unprimeable number, because it can be changed into a prime (42106957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60151 + ... + 60846.

It is an arithmetic number, because the mean of its divisors is an integer number (4234930).

Almost surely, 242106956 is an apocalyptic number.

It is an amenable number.

42106956 is an abundant number, since it is smaller than the sum of its proper divisors (59531364).

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

42106956 is a wasteful number, since it uses less digits than its factorization.

42106956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121033 (or 121031 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42106956 is about 6488.9872861642. The cubic root of 42106956 is about 347.8974793790.

The spelling of 42106956 in words is "forty-two million, one hundred six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 120997 241994 362991 483988 725982 1451964 3508913 7017826 10526739 14035652 21053478 42106956