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42142912 = 267194951
BaseRepresentation
bin1010000011000…
…0110011000000
32221022002012121
42200300303000
541242033122
64103134024
71021131430
oct240606300
987262177
1042142912
1121874659
1212144314
138967046
1458502c0
153a76bc7
hex2830cc0

42142912 has 56 divisors (see below), whose sum is σ = 100624640. Its totient is φ = 17107200.

The previous prime is 42142909. The next prime is 42142921. The reversal of 42142912 is 21924124.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6037 + ... + 10987.

Almost surely, 242142912 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 42142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50312320).

42142912 is an abundant number, since it is smaller than the sum of its proper divisors (58481728).

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

42142912 is a wasteful number, since it uses less digits than its factorization.

42142912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4979 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 42142912 is about 6491.7572351406. The cubic root of 42142912 is about 347.9964768217.

The spelling of 42142912 in words is "forty-two million, one hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 4951 8512 9902 19804 34657 39608 69314 79216 94069 138628 158432 188138 277256 316864 376276 554512 658483 752552 1109024 1316966 1505104 2218048 2633932 3010208 5267864 6020416 10535728 21071456 42142912