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855625680 = 243457131451
BaseRepresentation
bin110010111111111…
…100111111010000
32012122000021210000
4302333330333100
53223020010210
6220523010000
730126461340
oct6277747720
92178007700
10855625680
113a9a84268
121ba669900
1310835aab0
14818c8d20
15501b3ac0
hex32ffcfd0

855625680 has 400 divisors, whose sum is σ = 3660015744. Its totient is φ = 180403200.

The previous prime is 855625663. The next prime is 855625697. The reversal of 855625680 is 86526558.

855625680 is a `hidden beast` number, since 8 + 5 + 562 + 5 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (855625663) and next prime (855625697).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 588955 + ... + 590405.

Almost surely, 2855625680 is an apocalyptic number.

855625680 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 855625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830007872).

855625680 is an abundant number, since it is smaller than the sum of its proper divisors (2804390064).

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

855625680 is a wasteful number, since it uses less digits than its factorization.

855625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 855625680 is about 29251.0799800623. The cubic root of 855625680 is about 949.3534585134.

The spelling of 855625680 in words is "eight hundred fifty-five million, six hundred twenty-five thousand, six hundred eighty".