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629379072 = 212347271
BaseRepresentation
bin100101100000111…
…001000000000000
31121212021202210000
4211200321000000
52242110112242
6142241440000
721411430260
oct4540710000
91555252700
10629379072
112a32a48a3
12156940000
13a051406a
145d8337a0
153a3c2a4c
hex25839000

629379072 has 260 divisors, whose sum is σ = 2156657536. Its totient is φ = 179159040.

The previous prime is 629379067. The next prime is 629379077. The reversal of 629379072 is 270973926.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (629379067) and next prime (629379077).

It is a super-2 number, since 2×6293790722 = 792236032543162368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (629379077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322297 + ... + 2322567.

Almost surely, 2629379072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078328768).

629379072 is an abundant number, since it is smaller than the sum of its proper divisors (1527278464).

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

629379072 is an equidigital number, since it uses as much as digits as its factorization.

629379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 629379072 is about 25087.4285649207. The cubic root of 629379072 is about 856.9801565471.

The spelling of 629379072 in words is "six hundred twenty-nine million, three hundred seventy-nine thousand, seventy-two".