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42394624 = 210192179
BaseRepresentation
bin1010000110111…
…0010000000000
32221202212111021
42201232100000
541323111444
64112355224
71023230326
oct241562000
987685437
1042394624
1121a26788
1212245b14
138a2479c
1458b7d16
153ac6584
hex286e400

42394624 has 44 divisors (see below), whose sum is σ = 89249200. Its totient is φ = 20072448.

The previous prime is 42394621. The next prime is 42394631. The reversal of 42394624 is 42649324.

It is a self number, because there is not a number n which added to its sum of digits gives 42394624.

It is not an unprimeable number, because it can be changed into a prime (42394621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18367 + ... + 20545.

Almost surely, 242394624 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 42394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44624600).

42394624 is an abundant number, since it is smaller than the sum of its proper divisors (46854576).

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

42394624 is a wasteful number, since it uses less digits than its factorization.

42394624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2200 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 42394624 is about 6511.1154190354. The cubic root of 42394624 is about 348.6879420074.

The spelling of 42394624 in words is "forty-two million, three hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2179 2432 4358 4864 8716 9728 17432 19456 34864 41401 69728 82802 139456 165604 278912 331208 557824 662416 1115648 1324832 2231296 2649664 5299328 10598656 21197312 42394624