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629145348 = 2231314927067
BaseRepresentation
bin100101011111111…
…111111100000100
31121211211220011120
4211133333330010
52242030122343
6142232433540
721406434666
oct4537777404
91554756146
10629145348
112a3155237
121568488b0
13a0461870
145d7b2536
153a378683
hex257fff04

629145348 has 48 divisors (see below), whose sum is σ = 1591598400. Its totient is φ = 192276864.

The previous prime is 629145331. The next prime is 629145383. The reversal of 629145348 is 843541926.

It is a super-2 number, since 2×6291453482 = 791647737820082208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9711 + ... + 36777.

It is an arithmetic number, because the mean of its divisors is an integer number (33158300).

Almost surely, 2629145348 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 629145348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795799200).

629145348 is an abundant number, since it is smaller than the sum of its proper divisors (962453052).

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

629145348 is a wasteful number, since it uses less digits than its factorization.

629145348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27236 (or 27234 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 629145348 is about 25082.7699427316. The cubic root of 629145348 is about 856.8740617001.

The spelling of 629145348 in words is "six hundred twenty-nine million, one hundred forty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 1788 1937 3874 5811 7748 11622 23244 27067 54134 81201 108268 162402 324804 351871 703742 1055613 1407484 2111226 4032983 4222452 8065966 12098949 16131932 24197898 48395796 52428779 104857558 157286337 209715116 314572674 629145348