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629138112 = 26341229349
BaseRepresentation
bin100101011111111…
…110001011000000
31121211211112020120
4211133332023000
52242024404422
6142232340240
721406404621
oct4537761300
91554745216
10629138112
112a314a859
12156844680
13a045b495
145d7ada48
153a37645c
hex257fe2c0

629138112 has 112 divisors (see below), whose sum is σ = 1717548000. Its totient is φ = 203120640.

The previous prime is 629138101. The next prime is 629138129. The reversal of 629138112 is 211831926.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802514 + ... + 1802862.

It is an arithmetic number, because the mean of its divisors is an integer number (15335250).

Almost surely, 2629138112 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 629138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858774000).

629138112 is an abundant number, since it is smaller than the sum of its proper divisors (1088409888).

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

629138112 is a wasteful number, since it uses less digits than its factorization.

629138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 629138112 is about 25082.6256998744. The cubic root of 629138112 is about 856.8707766275.

The spelling of 629138112 in words is "six hundred twenty-nine million, one hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 229 246 328 349 458 492 656 687 698 916 984 1047 1312 1374 1396 1832 1968 2094 2624 2748 2792 3664 3936 4188 5496 5584 7328 7872 8376 9389 10992 11168 14309 14656 16752 18778 21984 22336 28167 28618 33504 37556 42927 43968 56334 57236 67008 75112 79921 85854 112668 114472 150224 159842 171708 225336 228944 239763 300448 319684 343416 450672 457888 479526 600896 639368 686832 901344 915776 959052 1278736 1373664 1802688 1918104 2557472 2747328 3276761 3836208 5114944 6553522 7672416 9830283 13107044 15344832 19660566 26214088 39321132 52428176 78642264 104856352 157284528 209712704 314569056 629138112