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42634624 = 27397839
BaseRepresentation
bin1010001010100…
…0110110000000
32222020001201011
42202220312000
541403301444
64121450304
71025250124
oct242506600
988201634
1042634624
112208002a
1212340994
138aa9ab6
14593b584
153b22734
hex28a8d80

42634624 has 32 divisors (see below), whose sum is σ = 85251600. Its totient is φ = 21238272.

The previous prime is 42634621. The next prime is 42634637. The reversal of 42634624 is 42643624.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×426346242 = 3635422327242752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42634621) 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, 50397 + ... + 51235.

Almost surely, 242634624 is an apocalyptic number.

It is an amenable number.

42634624 is a deficient number, since it is larger than the sum of its proper divisors (42616976).

42634624 is an equidigital number, since it uses as much as digits as its factorization.

42634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1238 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

The square root of 42634624 is about 6529.5194310148. The cubic root of 42634624 is about 349.3446894637.

The spelling of 42634624 in words is "forty-two million, six hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 397 794 839 1588 1678 3176 3356 6352 6712 12704 13424 25408 26848 50816 53696 107392 333083 666166 1332332 2664664 5329328 10658656 21317312 42634624