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42536625 = 353671693
BaseRepresentation
bin1010001001000…
…0111010110001
32222001002021120
42202100322301
541342133000
64115412453
71024361325
oct242207261
988032246
1042536625
112201343a
12122b4129
138a74301
145913985
153b036a0
hex2890eb1

42536625 has 32 divisors (see below), whose sum is σ = 71879808. Its totient is φ = 22334400.

The previous prime is 42536609. The next prime is 42536647. The reversal of 42536625 is 52663524.

It is not a de Polignac number, because 42536625 - 24 = 42536609 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24279 + ... + 25971.

It is an arithmetic number, because the mean of its divisors is an integer number (2246244).

Almost surely, 242536625 is an apocalyptic number.

It is an amenable number.

42536625 is a deficient number, since it is larger than the sum of its proper divisors (29343183).

42536625 is a wasteful number, since it uses less digits than its factorization.

42536625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1768 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 42536625 is about 6522.0108095587. The cubic root of 42536625 is about 349.0768188030.

It can be divided in two parts, 4253 and 6625, that added together give a triangular number (10878 = T147).

The spelling of 42536625 in words is "forty-two million, five hundred thirty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 67 75 125 201 335 375 1005 1675 1693 5025 5079 8375 8465 25125 25395 42325 113431 126975 211625 340293 567155 634875 1701465 2835775 8507325 14178875 42536625