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42007956 = 22318111933
BaseRepresentation
bin1010000000111…
…1110110010100
32221001020002020
42200033312110
541223223311
64100213140
71020030114
oct240176624
987036066
1042007956
1121792221
121209a1b0
13891a7a3
145817044
153a4bc06
hex280fd94

42007956 has 24 divisors (see below), whose sum is σ = 98123424. Its totient is φ = 13987680.

The previous prime is 42007951. The next prime is 42007957. The reversal of 42007956 is 65970024.

It is a super-3 number, since 3×420079563 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007951) 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, 20766 + ... + 22698.

It is an arithmetic number, because the mean of its divisors is an integer number (4088476).

Almost surely, 242007956 is an apocalyptic number.

It is an amenable number.

42007956 is an abundant number, since it is smaller than the sum of its proper divisors (56115468).

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

42007956 is a wasteful number, since it uses less digits than its factorization.

42007956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 42007956 is about 6481.3544880681. The cubic root of 42007956 is about 347.6246117283.

The spelling of 42007956 in words is "forty-two million, seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 1811 1933 3622 3866 5433 5799 7244 7732 10866 11598 21732 23196 3500663 7001326 10501989 14002652 21003978 42007956