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45453900 = 223521031471
BaseRepresentation
bin1010110101100…
…1001001001100
310011112022000210
42231121021030
543114011100
64302122420
71061231442
oct255311114
9104468023
1045453900
1123726208
1213280410
1395560cb
146072b92
153eccc50
hex2b5924c

45453900 has 72 divisors (see below), whose sum is σ = 132880384. Its totient is φ = 11995200.

The previous prime is 45453857. The next prime is 45453901. The reversal of 45453900 is 935454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45453901) 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, 30165 + ... + 31635.

Almost surely, 245453900 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 45453900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66440192).

45453900 is an abundant number, since it is smaller than the sum of its proper divisors (87426484).

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

45453900 is a wasteful number, since it uses less digits than its factorization.

45453900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 45453900 is about 6741.9507562723. The cubic root of 45453900 is about 356.8812384980.

The spelling of 45453900 in words is "forty-five million, four hundred fifty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1471 1545 2060 2575 2942 3090 4413 5150 5884 6180 7355 7725 8826 10300 14710 15450 17652 22065 29420 30900 36775 44130 73550 88260 110325 147100 151513 220650 303026 441300 454539 606052 757565 909078 1515130 1818156 2272695 3030260 3787825 4545390 7575650 9090780 11363475 15151300 22726950 45453900