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897825240 = 23325131923439
BaseRepresentation
bin110101100000111…
…011100111011000
32022120102020200200
4311200323213120
53314320401430
6225031302200
731151250204
oct6540734730
92276366620
10897825240
11420887434
1221081a960
13114014850
1487351b04
1553c4c460
hex3583b9d8

897825240 has 384 divisors, whose sum is σ = 3459456000. Its totient is φ = 199812096.

The previous prime is 897825211. The next prime is 897825281. The reversal of 897825240 is 42528798.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2044941 + ... + 2045379.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000).

Almost surely, 2897825240 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 897825240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728000).

897825240 is an abundant number, since it is smaller than the sum of its proper divisors (2561630760).

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

897825240 is a wasteful number, since it uses less digits than its factorization.

897825240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 897825240 is about 29963.7320772964. The cubic root of 897825240 is about 964.7110878602.

The spelling of 897825240 in words is "eight hundred ninety-seven million, eight hundred twenty-five thousand, two hundred forty".