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629441296 = 24114721619
BaseRepresentation
bin100101100001001…
…000001100010000
31121212101221010121
4211201020030100
52242114110141
6142243040024
721412106551
oct4541101420
91555357117
10629441296
112a3337620
12156970014
13a0536493
145d84c328
153a3d61d1
hex25848310

629441296 has 60 divisors (see below), whose sum is σ = 1360158480. Its totient is φ = 279849280.

The previous prime is 629441261. The next prime is 629441311. The reversal of 629441296 is 692144926.

It is a super-2 number, since 2×6294412962 = 792392690220319232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387975 + ... + 389593.

It is an arithmetic number, because the mean of its divisors is an integer number (22669308).

Almost surely, 2629441296 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 629441296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680079240).

629441296 is an abundant number, since it is smaller than the sum of its proper divisors (730717184).

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

629441296 is a wasteful number, since it uses less digits than its factorization.

629441296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1679 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 629441296 is about 25088.6686773133. The cubic root of 629441296 is about 857.0083975963.

The spelling of 629441296 in words is "six hundred twenty-nine million, four hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 1619 2068 2209 3238 4136 4418 6476 8272 8836 12952 17672 17809 24299 25904 35344 35618 48598 71236 76093 97196 142472 152186 194392 284944 304372 388784 608744 837023 1217488 1674046 3348092 3576371 6696184 7152742 13392368 14305484 28610968 39340081 57221936 78680162 157360324 314720648 629441296