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896463040 = 265111771211
BaseRepresentation
bin110101011011101…
…111000011000000
32022110212001002211
4311123233003000
53313443304130
6224542151504
731133544604
oct6533570300
92273761084
10896463040
11420036a50
12210282594
13113958805
14870b9504
1553a7da2a
hex356ef0c0

896463040 has 224 divisors, whose sum is σ = 2512332288. Its totient is φ = 301056000.

The previous prime is 896463037. The next prime is 896463077. The reversal of 896463040 is 40364698.

896463040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 896462984 and 896463002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4248535 + ... + 4248745.

Almost surely, 2896463040 is an apocalyptic number.

896463040 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 896463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256166144).

896463040 is an abundant number, since it is smaller than the sum of its proper divisors (1615869248).

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

896463040 is a wasteful number, since it uses less digits than its factorization.

896463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 896463040 is about 29940.9926355156. The cubic root of 896463040 is about 964.2229473496. Note that the first 3 decimals are identical.

The spelling of 896463040 in words is "eight hundred ninety-six million, four hundred sixty-three thousand, forty".