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42012684 = 22327293569
BaseRepresentation
bin1010000001000…
…1000000001100
32221001110120100
42200101000030
541223401214
64100251100
71020046650
oct240210014
987043510
1042012684
112179582a
12120a0a90
13891c99c
145818a60
153a4d309
hex281100c

42012684 has 72 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 11941632.

The previous prime is 42012683. The next prime is 42012701. The reversal of 42012684 is 48621024.

It is not an unprimeable number, because it can be changed into a prime (42012683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73552 + ... + 74120.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 242012684 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 42012684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999120).

42012684 is an abundant number, since it is smaller than the sum of its proper divisors (79985556).

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

42012684 is a wasteful number, since it uses less digits than its factorization.

42012684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42012684 is about 6481.7192163808. The cubic root of 42012684 is about 347.6376529683.

The spelling of 42012684 in words is "forty-two million, twelve thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 293 569 586 879 1138 1172 1707 1758 2051 2276 2637 3414 3516 3983 4102 5121 5274 6153 6828 7966 8204 10242 10548 11949 12306 15932 18459 20484 23898 24612 35847 36918 47796 71694 73836 143388 166717 333434 500151 666868 1000302 1167019 1500453 2000604 2334038 3000906 3501057 4668076 6001812 7002114 10503171 14004228 21006342 42012684