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42633344 = 271325621
BaseRepresentation
bin1010001010100…
…0100010000000
32222012222221202
42202220202000
541403231334
64121440332
71025243315
oct242504200
988188852
1042633344
112207a076
12123400a8
138aa9340
14593ad0c
153b2217e
hex28a8880

42633344 has 32 divisors (see below), whose sum is σ = 91470540. Its totient is φ = 19676160.

The previous prime is 42633323. The next prime is 42633379. The reversal of 42633344 is 44333624.

It can be written as a sum of positive squares in 2 ways, for example, as 37063744 + 5569600 = 6088^2 + 2360^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11147 + ... + 14474.

Almost surely, 242633344 is an apocalyptic number.

It is an amenable number.

42633344 is an abundant number, since it is smaller than the sum of its proper divisors (48837196).

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

42633344 is a wasteful number, since it uses less digits than its factorization.

42633344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648 (or 25636 counting only the distinct ones).

The product of its digits is 20736, while the sum is 29.

The square root of 42633344 is about 6529.4214138773. The cubic root of 42633344 is about 349.3411933563.

Adding to 42633344 its reverse (44333624), we get a palindrome (86966968).

The spelling of 42633344 in words is "forty-two million, six hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 25621 51242 102484 204968 333073 409936 666146 819872 1332292 1639744 2664584 3279488 5329168 10658336 21316672 42633344