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45426936 = 2335371503
BaseRepresentation
bin1010110101001…
…0100011111000
310011110221001010
42231102203320
543112130221
64301353520
71061060022
oct255224370
9104427033
1045426936
1123707a25
12132688a0
139546a59
146067012
153ec4c76
hex2b528f8

45426936 has 64 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 14618240.

The previous prime is 45426911. The next prime is 45426937. The reversal of 45426936 is 63962454.

45426936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45426894 and 45426903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45426937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90061 + ... + 90563.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 245426936 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 45426936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

45426936 is an abundant number, since it is smaller than the sum of its proper divisors (72146184).

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

45426936 is a wasteful number, since it uses less digits than its factorization.

45426936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 45426936 is about 6739.9507416598. The cubic root of 45426936 is about 356.8106552684.

The spelling of 45426936 in words is "forty-five million, four hundred twenty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 53 71 106 142 159 212 213 284 318 424 426 503 568 636 852 1006 1272 1509 1704 2012 3018 3763 4024 6036 7526 11289 12072 15052 22578 26659 30104 35713 45156 53318 71426 79977 90312 106636 107139 142852 159954 213272 214278 285704 319908 428556 639816 857112 1892789 3785578 5678367 7571156 11356734 15142312 22713468 45426936