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897998400 = 26345213241
BaseRepresentation
bin110101100001100…
…101111001000000
32022120202001020000
4311201211321000
53314341422100
6225035120000
731152601065
oct6541457100
92276661200
10897998400
11420995542
122108a3000
13114075600
1487398c6c
1553c83900
hex35865e40

897998400 has 630 divisors, whose sum is σ = 3661433622. Its totient is φ = 215654400.

The previous prime is 897998363. The next prime is 897998401. The reversal of 897998400 is 4899798.

897998400 = 3762 + 3772 + ... + 14002.

897998400 is a `hidden beast` number, since 89 + 79 + 98 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 784448064 + 113550336 = 28008^2 + 10656^2 .

It is a super-2 number, since 2×8979984002 = 1612802252805120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21902380 + ... + 21902420.

Almost surely, 2897998400 is an apocalyptic number.

897998400 is a gapful number since it is divisible by the number (80) 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 897998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830716811).

897998400 is an abundant number, since it is smaller than the sum of its proper divisors (2763435222).

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

897998400 is a wasteful number, since it uses less digits than its factorization.

897998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 897998400 is about 29966.6214311857. The cubic root of 897998400 is about 964.7731038763.

The spelling of 897998400 in words is "eight hundred ninety-seven million, nine hundred ninety-eight thousand, four hundred".