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897379560 = 233557112109
BaseRepresentation
bin110101011111001…
…110110011101000
32022112120121100000
4311133032303220
53314212121220
6225013543000
731144412640
oct6537166350
92275517300
10897379560
11420602600
12210644a60
13113bb9a2c
1487277520
1553bb0390
hex357cece8

897379560 has 576 divisors, whose sum is σ = 3834230400. Its totient is φ = 184757760.

The previous prime is 897379559. The next prime is 897379589. The reversal of 897379560 is 65973798.

897379560 is a `hidden beast` number, since 8 + 9 + 7 + 3 + 79 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 897379497 and 897379506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8232786 + ... + 8232894.

It is an arithmetic number, because the mean of its divisors is an integer number (6656650).

Almost surely, 2897379560 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 897379560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917115200).

897379560 is an abundant number, since it is smaller than the sum of its proper divisors (2936850840).

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

897379560 is a wasteful number, since it uses less digits than its factorization.

897379560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 897379560 is about 29956.2941633307. The cubic root of 897379560 is about 964.5514340728.

The spelling of 897379560 in words is "eight hundred ninety-seven million, three hundred seventy-nine thousand, five hundred sixty".