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900896256 = 293513557
BaseRepresentation
bin110101101100101…
…001011000000000
32022210012021100000
4311230221120000
53321112140011
6225221200000
731216330461
oct6554513000
92283167300
10900896256
11422594767
12211860000
1311484b610
1487910d68
1554157356
hex35b29600

900896256 has 240 divisors, whose sum is σ = 2908970064. Its totient is φ = 276701184.

The previous prime is 900896231. The next prime is 900896261. The reversal of 900896256 is 652698009.

It is a super-2 number, since 2×9008962562 = 1623228128149635072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617130 + ... + 1617686.

Almost surely, 2900896256 is an apocalyptic number.

900896256 is a gapful number since it is divisible by the number (96) 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 900896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454485032).

900896256 is an abundant number, since it is smaller than the sum of its proper divisors (2008073808).

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

900896256 is an equidigital number, since it uses as much as digits as its factorization.

900896256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 900896256 is about 30014.9338829856. The cubic root of 900896256 is about 965.8097692615.

The spelling of 900896256 in words is "nine hundred million, eight hundred ninety-six thousand, two hundred fifty-six".