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897678400 = 26522112659
BaseRepresentation
bin110101100000010…
…111110001000000
32022120010210021011
4311200113301000
53314301202100
6225024210304
731150066123
oct6540276100
92276123234
10897678400
11420797083
12210769994
13113c92a68
14873143ba
1553c1dbba
hex35817c40

897678400 has 84 divisors (see below), whose sum is σ = 2220153040. Its totient is φ = 357235200.

The previous prime is 897678373. The next prime is 897678407. The reversal of 897678400 is 4876798.

It is not an unprimeable number, because it can be changed into a prime (897678407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336271 + ... + 338929.

Almost surely, 2897678400 is an apocalyptic number.

897678400 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 897678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110076520).

897678400 is an abundant number, since it is smaller than the sum of its proper divisors (1322474640).

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

897678400 is a wasteful number, since it uses less digits than its factorization.

897678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 897678400 is about 29961.2816815302. The cubic root of 897678400 is about 964.6584919156.

The spelling of 897678400 in words is "eight hundred ninety-seven million, six hundred seventy-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 211 320 400 422 800 844 1055 1600 1688 2110 2659 3376 4220 5275 5318 6752 8440 10550 10636 13295 13504 16880 21100 21272 26590 33760 42200 42544 53180 66475 67520 84400 85088 106360 132950 168800 170176 212720 265900 337600 425440 531800 561049 850880 1063600 1122098 2127200 2244196 2805245 4254400 4488392 5610490 8976784 11220980 14026225 17953568 22441960 28052450 35907136 44883920 56104900 89767840 112209800 179535680 224419600 448839200 897678400