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45454080 = 283571989
BaseRepresentation
bin1010110101100…
…1001100000000
310011112022021110
42231121030000
543114012310
64302123320
71061232120
oct255311400
9104468243
1045454080
1123726361
1213280540
139556209
146072c80
153eccd20
hex2b59300

45454080 has 288 divisors, whose sum is σ = 176601600. Its totient is φ = 9732096.

The previous prime is 45454069. The next prime is 45454111. The reversal of 45454080 is 8045454.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510676 + ... + 510764.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 245454080 is an apocalyptic number.

45454080 is a gapful number since it is divisible by the number (40) 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 45454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

45454080 is an abundant number, since it is smaller than the sum of its proper divisors (131147520).

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

45454080 is a wasteful number, since it uses less digits than its factorization.

45454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45454080 is about 6741.9641055111. The cubic root of 45454080 is about 356.8817095873.

The spelling of 45454080 in words is "forty-five million, four hundred fifty-four thousand, eighty".