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897390900 = 223452731719
BaseRepresentation
bin110101011111010…
…001100100110100
32022112121011220000
4311133101210310
53314213002100
6225014111300
731144461000
oct6537214464
92275534800
10897390900
1142061007a
1221064b530
13113bc1c43
148727b700
1553bb3900
hex357d1934

897390900 has 720 divisors, whose sum is σ = 3781008000. Its totient is φ = 182891520.

The previous prime is 897390889. The next prime is 897390911. The reversal of 897390900 is 9093798.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (897390889) and next prime (897390911).

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 239 ways as a sum of consecutive naturals, for example, 47231091 + ... + 47231109.

It is an arithmetic number, because the mean of its divisors is an integer number (5251400).

Almost surely, 2897390900 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 897390900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890504000).

897390900 is an abundant number, since it is smaller than the sum of its proper divisors (2883617100).

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

897390900 is a wasteful number, since it uses less digits than its factorization.

897390900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 897390900 is about 29956.4834384812. The cubic root of 897390900 is about 964.5554970014. Note that the first 3 decimals are identical.

The spelling of 897390900 in words is "eight hundred ninety-seven million, three hundred ninety thousand, nine hundred".