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629823480 = 23351113172127
BaseRepresentation
bin100101100010100…
…101011111111000
31121220010100101120
4211202211133320
52242213322410
6142255145240
721415261026
oct4542453770
91556110346
10629823480
112a3578780
12156b15220
13a063b420
145d90b716
153a45e570
hex258a57f8

629823480 has 384 divisors, whose sum is σ = 2376622080. Its totient is φ = 131604480.

The previous prime is 629823449. The next prime is 629823511. The reversal of 629823480 is 84328926.

It is an interprime number because it is at equal distance from previous prime (629823449) and next prime (629823511).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4959177 + ... + 4959303.

It is an arithmetic number, because the mean of its divisors is an integer number (6189120).

Almost surely, 2629823480 is an apocalyptic number.

629823480 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 629823480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188311040).

629823480 is an abundant number, since it is smaller than the sum of its proper divisors (1746798600).

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

629823480 is a wasteful number, since it uses less digits than its factorization.

629823480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 629823480 is about 25096.2841871063. The cubic root of 629823480 is about 857.1818152134.

The spelling of 629823480 in words is "six hundred twenty-nine million, eight hundred twenty-three thousand, four hundred eighty".