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1325465856 = 28351113149
BaseRepresentation
bin100111100000001…
…0000000100000000
310102101002122100000
41033000100010000
510203304401411
6335305200000
744563162641
oct11700200400
93371078300
101325465856
11620211130
1230ba90000
131817b3230
14c806d6c8
157b570956
hex4f010100

1325465856 has 432 divisors, whose sum is σ = 4687300800. Its totient is φ = 368271360.

The previous prime is 1325465849. The next prime is 1325465861. The reversal of 1325465856 is 6585645231.

1325465856 is a `hidden beast` number, since 1 + 3 + 2 + 546 + 58 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895670 + ... + 8895818.

Almost surely, 21325465856 is an apocalyptic number.

1325465856 is a gapful number since it is divisible by the number (16) 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 1325465856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343650400).

1325465856 is an abundant number, since it is smaller than the sum of its proper divisors (3361834944).

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

1325465856 is a wasteful number, since it uses less digits than its factorization.

1325465856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 1325465856 is about 36406.9479083320. The cubic root of 1325465856 is about 1098.4733245518.

The spelling of 1325465856 in words is "one billion, three hundred twenty-five million, four hundred sixty-five thousand, eight hundred fifty-six".