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56745000 = 2332541397
BaseRepresentation
bin1101100001110…
…1110000101000
310221202221111200
43120131300220
5104011320000
65344124200
71256216214
oct330356050
9127687450
1056745000
112a0383a4
1217006660
13b9aa530
147771944
154ead500
hex361dc28

56745000 has 240 divisors, whose sum is σ = 208948740. Its totient is φ = 13824000.

The previous prime is 56744999. The next prime is 56745019. The reversal of 56745000 is 54765.

It can be written as a sum of positive squares in 10 ways, for example, as 13264164 + 43480836 = 3642^2 + 6594^2 .

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 485 × 325 × 360.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584952 + ... + 585048.

Almost surely, 256745000 is an apocalyptic number.

56745000 is a gapful number since it is divisible by the number (50) 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 56745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104474370).

56745000 is an abundant number, since it is smaller than the sum of its proper divisors (152203740).

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

56745000 is a wasteful number, since it uses less digits than its factorization.

56745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 56745000 is about 7532.9277176938. The cubic root of 56745000 is about 384.2753558881.

Adding to 56745000 its reverse (54765), we get a palindrome (56799765).

The spelling of 56745000 in words is "fifty-six million, seven hundred forty-five thousand".