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45576156 = 22323374463
BaseRepresentation
bin1010110111011…
…0111111011100
310011202111201210
42231312333130
543131414111
64304504420
71062251043
oct255667734
9104674653
1045576156
11237aa04a
121331b110
139599952
1460a555a
1540040a6
hex2b76fdc

45576156 has 48 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 14135616.

The previous prime is 45576151. The next prime is 45576191. The reversal of 45576156 is 65167554.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45576151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7981 + ... + 12443.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 245576156 is an apocalyptic number.

45576156 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45576156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

45576156 is an abundant number, since it is smaller than the sum of its proper divisors (68416548).

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

45576156 is a wasteful number, since it uses less digits than its factorization.

45576156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4528 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 45576156 is about 6751.0114797710. The cubic root of 45576156 is about 357.2009163363.

It can be divided in two parts, 45 and 576156, that added together give a triangular number (576201 = T1073).

The spelling of 45576156 in words is "forty-five million, five hundred seventy-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 4463 5106 8926 10212 13389 17852 26778 53556 102649 165131 205298 307947 330262 410596 495393 615894 660524 990786 1231788 1981572 3798013 7596026 11394039 15192052 22788078 45576156