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45358020 = 22325594271
BaseRepresentation
bin1010110100000…
…1101111000100
310011100102111200
42231001233010
543102424040
64300102500
71060352061
oct255015704
9104312450
1045358020
1123670174
1213234a30
139521586
146049c68
153eae630
hex2b41bc4

45358020 has 72 divisors (see below), whose sum is σ = 139950720. Its totient is φ = 11887680.

The previous prime is 45358003. The next prime is 45358021. The reversal of 45358020 is 2085354.

It is not an unprimeable number, because it can be changed into a prime (45358021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8485 + ... + 12755.

It is an arithmetic number, because the mean of its divisors is an integer number (1943760).

Almost surely, 245358020 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 45358020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69975360).

45358020 is an abundant number, since it is smaller than the sum of its proper divisors (94592700).

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

45358020 is a wasteful number, since it uses less digits than its factorization.

45358020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45358020 is about 6734.8363009059. The cubic root of 45358020 is about 356.6301279521.

The spelling of 45358020 in words is "forty-five million, three hundred fifty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 4271 5310 8542 10620 12813 17084 21355 25626 38439 42710 51252 64065 76878 85420 128130 153756 192195 251989 256260 384390 503978 755967 768780 1007956 1259945 1511934 2267901 2519890 3023868 3779835 4535802 5039780 7559670 9071604 11339505 15119340 22679010 45358020