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42145908 = 22371792803
BaseRepresentation
bin1010000011000…
…1100001110100
32221022020022120
42200301201310
541242132113
64103155540
71021143240
oct240614164
987266276
1042145908
1121876932
1212145bb0
13896850c
145851420
153a77a23
hex2831874

42145908 has 48 divisors (see below), whose sum is σ = 113057280. Its totient is φ = 11970144.

The previous prime is 42145879. The next prime is 42145921. The reversal of 42145908 is 80954124.

It is a super-2 number, since 2×421459082 = 3552555122288928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13635 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (2355360).

Almost surely, 242145908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42145908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56528640).

42145908 is an abundant number, since it is smaller than the sum of its proper divisors (70911372).

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

42145908 is a wasteful number, since it uses less digits than its factorization.

42145908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 42145908 is about 6491.9879852015. The cubic root of 42145908 is about 348.0047231490.

The spelling of 42145908 in words is "forty-two million, one hundred forty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 537 716 1074 1253 2148 2506 2803 3759 5012 5606 7518 8409 11212 15036 16818 19621 33636 39242 58863 78484 117726 235452 501737 1003474 1505211 2006948 3010422 3512159 6020844 7024318 10536477 14048636 21072954 42145908