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897953920 = 2755212693
BaseRepresentation
bin110101100001011…
…011000010000000
32022120122210012121
4311201123002000
53314334011140
6225034134024
731152324313
oct6541330200
92276583177
10897953920
11420965086
12210881314
1311405b2a6
148738697a
1553c7564a
hex3585b080

897953920 has 64 divisors (see below), whose sum is σ = 2151590040. Its totient is φ = 358359040.

The previous prime is 897953911. The next prime is 897953921. The reversal of 897953920 is 29359798.

It can be written as a sum of positive squares in 4 ways, for example, as 595750464 + 302203456 = 24408^2 + 17384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (897953921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332094 + ... + 334786.

Almost surely, 2897953920 is an apocalyptic number.

897953920 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 897953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075795020).

897953920 is an abundant number, since it is smaller than the sum of its proper divisors (1253636120).

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

897953920 is a wasteful number, since it uses less digits than its factorization.

897953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The square root of 897953920 is about 29965.8792629217. The cubic root of 897953920 is about 964.7571744433.

The spelling of 897953920 in words is "eight hundred ninety-seven million, nine hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 521 640 1042 2084 2605 2693 4168 5210 5386 8336 10420 10772 13465 16672 20840 21544 26930 33344 41680 43088 53860 66688 83360 86176 107720 166720 172352 215440 333440 344704 430880 861760 1403053 1723520 2806106 5612212 7015265 11224424 14030530 22448848 28061060 44897696 56122120 89795392 112244240 179590784 224488480 448976960 897953920