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624478680 = 2333571743113
BaseRepresentation
bin100101001110001…
…100100111011000
31121112001210201000
4211032030213120
52234331304210
6141544425000
721321660360
oct4516144730
91545053630
10624478680
112a0558091
12155178160
139c4b9717
145cd199a0
1539c55ac0
hex2538c9d8

624478680 has 512 divisors, whose sum is σ = 2600294400. Its totient is φ = 130056192.

The previous prime is 624478669. The next prime is 624478691. The reversal of 624478680 is 86874426.

It is an interprime number because it is at equal distance from previous prime (624478669) and next prime (624478691).

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 127 ways as a sum of consecutive naturals, for example, 5526304 + ... + 5526416.

It is an arithmetic number, because the mean of its divisors is an integer number (5078700).

Almost surely, 2624478680 is an apocalyptic number.

624478680 is a gapful number since it is divisible by the number (60) 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 624478680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300147200).

624478680 is an abundant number, since it is smaller than the sum of its proper divisors (1975815720).

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

624478680 is a wasteful number, since it uses less digits than its factorization.

624478680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 624478680 is about 24989.5714248964. The cubic root of 624478680 is about 854.7501886369.

The spelling of 624478680 in words is "six hundred twenty-four million, four hundred seventy-eight thousand, six hundred eighty".