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629240352 = 253133713627
BaseRepresentation
bin100101100000010…
…111001000100000
31121212000201111020
4211200113020200
52242041142402
6142234445440
721410311656
oct4540271040
91555021436
10629240352
112a320a654
12156893880
13a0495b90
145d7d8dd6
153a3968bc
hex25817220

629240352 has 96 divisors (see below), whose sum is σ = 1827024192. Its totient is φ = 188365824.

The previous prime is 629240333. The next prime is 629240377. The reversal of 629240352 is 253042926.

It is a tau number, because it is divible by the number of its divisors (96).

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, 39363 + ... + 52989.

It is an arithmetic number, because the mean of its divisors is an integer number (19031502).

Almost surely, 2629240352 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 629240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913512096).

629240352 is an abundant number, since it is smaller than the sum of its proper divisors (1197783840).

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

629240352 is a wasteful number, since it uses less digits than its factorization.

629240352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13690 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 629240352 is about 25084.6636812216. The cubic root of 629240352 is about 856.9171902429.

The spelling of 629240352 in words is "six hundred twenty-nine million, two hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 1184 1248 1443 1776 1924 2886 3552 3848 5772 7696 11544 13627 15392 23088 27254 40881 46176 54508 81762 109016 163524 177151 218032 327048 354302 436064 504199 531453 654096 708604 1008398 1062906 1308192 1417208 1512597 2016796 2125812 2834416 3025194 4033592 4251624 5668832 6050388 6554587 8067184 8503248 12100776 13109174 16134368 17006496 19663761 24201552 26218348 39327522 48403104 52436696 78655044 104873392 157310088 209746784 314620176 629240352