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45372060 = 22325443569
BaseRepresentation
bin1010110100010…
…1001010011100
310011101010202200
42231011022130
543103401220
64300251500
71060441026
oct255051234
9104333680
1045372060
112367a778
1213240b90
139527a96
146051016
153eb3890
hex2b4529c

45372060 has 72 divisors (see below), whose sum is σ = 138181680. Its totient is φ = 12050688.

The previous prime is 45372059. The next prime is 45372073. The reversal of 45372060 is 6027354.

It is a happy number.

45372060 is a `hidden beast` number, since 453 + 7 + 206 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79456 + ... + 80024.

It is an arithmetic number, because the mean of its divisors is an integer number (1919190).

Almost surely, 245372060 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 45372060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69090840).

45372060 is an abundant number, since it is smaller than the sum of its proper divisors (92809620).

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

45372060 is a wasteful number, since it uses less digits than its factorization.

45372060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45372060 is about 6735.8785618507. The cubic root of 45372060 is about 356.6669209342. Note that the first 3 decimals are identical.

The spelling of 45372060 in words is "forty-five million, three hundred seventy-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 569 886 1138 1329 1707 1772 2215 2276 2658 2845 3414 3987 4430 5121 5316 5690 6645 6828 7974 8535 8860 10242 11380 13290 15948 17070 19935 20484 25605 26580 34140 39870 51210 79740 102420 252067 504134 756201 1008268 1260335 1512402 2268603 2520670 3024804 3781005 4537206 5041340 7562010 9074412 11343015 15124020 22686030 45372060