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897274800 = 243352251331
BaseRepresentation
bin110101011110110…
…101001110110000
32022112101021122000
4311132311032300
53314200243200
6225011414000
731143465342
oct6536651660
92275337560
10897274800
11420540924
122105b4300
13113b81146
148724b292
1553b8e300
hex357b53b0

897274800 has 240 divisors, whose sum is σ = 3216044160. Its totient is φ = 237600000.

The previous prime is 897274799. The next prime is 897274817. The reversal of 897274800 is 8472798.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2710635 + ... + 2710965.

It is an arithmetic number, because the mean of its divisors is an integer number (13400184).

Almost surely, 2897274800 is an apocalyptic number.

897274800 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 897274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608022080).

897274800 is an abundant number, since it is smaller than the sum of its proper divisors (2318769360).

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

897274800 is a wasteful number, since it uses less digits than its factorization.

897274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 897274800 is about 29954.5455649055. The cubic root of 897274800 is about 964.5138987328.

The spelling of 897274800 in words is "eight hundred ninety-seven million, two hundred seventy-four thousand, eight hundred".