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45997056 = 2103272331
BaseRepresentation
bin1010111101110…
…1110000000000
310012112220002200
42233131300000
543233401211
64321513200
71065653130
oct257356000
9105486080
1045997056
1123a672a6
12134a2800
1396b63c1
146174ac0
154088b56
hex2bddc00

45997056 has 264 divisors, whose sum is σ = 163497984. Its totient is φ = 12165120.

The previous prime is 45997051. The next prime is 45997097. The reversal of 45997056 is 65079954.

It is a happy number.

45997056 is a `hidden beast` number, since 4 + 599 + 7 + 0 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45997051) 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, 1483761 + ... + 1483791.

Almost surely, 245997056 is an apocalyptic number.

45997056 is a gapful number since it is divisible by the number (46) 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 45997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81748992).

45997056 is an abundant number, since it is smaller than the sum of its proper divisors (117500928).

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

45997056 is a wasteful number, since it uses less digits than its factorization.

45997056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 45997056 is about 6782.1129450931. The cubic root of 45997056 is about 358.2971431031.

The spelling of 45997056 in words is "forty-five million, nine hundred ninety-seven thousand, fifty-six".