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45608742 = 23218113999
BaseRepresentation
bin1010110111111…
…0111100100110
310011211011102200
42231332330212
543133434432
64305315330
71062445044
oct255767446
9104734380
1045608742
1123821583
1213335b46
1395ab72a
1460b3394
15400da7c
hex2b7ef26

45608742 has 24 divisors (see below), whose sum is σ = 99372000. Its totient is φ = 15117840.

The previous prime is 45608737. The next prime is 45608743. The reversal of 45608742 is 24780654.

45608742 is a `hidden beast` number, since 4 + 5 + 608 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45608697 and 45608706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45608743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3742 + ... + 10257.

It is an arithmetic number, because the mean of its divisors is an integer number (4140500).

Almost surely, 245608742 is an apocalyptic number.

45608742 is an abundant number, since it is smaller than the sum of its proper divisors (53763258).

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

45608742 is a wasteful number, since it uses less digits than its factorization.

45608742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188 (or 14185 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45608742 is about 6753.4244646698. The cubic root of 45608742 is about 357.2860264547.

The spelling of 45608742 in words is "forty-five million, six hundred eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 181 362 543 1086 1629 3258 13999 27998 41997 83994 125991 251982 2533819 5067638 7601457 15202914 22804371 45608742