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623056896 = 21132711439
BaseRepresentation
bin100101001000110…
…001100000000000
31121102101120101100
4211020301200000
52234000310041
6141454134400
721303616260
oct4510614000
91542346340
10623056896
1129a776960
121547b1400
139c10c527
145ca697a0
1539a746b6
hex25231800

623056896 has 288 divisors, whose sum is σ = 2248646400. Its totient is φ = 161464320.

The previous prime is 623056883. The next prime is 623056897. The reversal of 623056896 is 698650326.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623056897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419045 + ... + 1419483.

It is an arithmetic number, because the mean of its divisors is an integer number (7807800).

Almost surely, 2623056896 is an apocalyptic number.

623056896 is a gapful number since it is divisible by the number (66) 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 623056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124323200).

623056896 is an abundant number, since it is smaller than the sum of its proper divisors (1625589504).

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

623056896 is a wasteful number, since it uses less digits than its factorization.

623056896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 623056896 is about 24961.1076677298. The cubic root of 623056896 is about 854.1010105627.

The spelling of 623056896 in words is "six hundred twenty-three million, fifty-six thousand, eight hundred ninety-six".