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45366720 = 2635743157
BaseRepresentation
bin1010110100001…
…1110111000000
310011100212102220
42231003313000
543103213340
64300211040
71060416330
oct255036700
9104325386
1045366720
1123676763
1213239a80
139525519
14604d0c0
153eb1ed0
hex2b43dc0

45366720 has 224 divisors, whose sum is σ = 169517568. Its totient is φ = 10063872.

The previous prime is 45366707. The next prime is 45366749. The reversal of 45366720 is 2766354.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 288882 + ... + 289038.

Almost surely, 245366720 is an apocalyptic number.

45366720 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 45366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84758784).

45366720 is an abundant number, since it is smaller than the sum of its proper divisors (124150848).

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

45366720 is a wasteful number, since it uses less digits than its factorization.

45366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 45366720 is about 6735.4821653687. The cubic root of 45366720 is about 356.6529279168.

The spelling of 45366720 in words is "forty-five million, three hundred sixty-six thousand, seven hundred twenty".