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629216 = 257532
BaseRepresentation
bin10011001100111100000
31011222010022
42121213200
5130113331
621253012
75230310
oct2314740
91158108
10629216
1139a815
12264168
13190523
14125440
15c667b
hex999e0

629216 has 36 divisors (see below), whose sum is σ = 1442952. Its totient is φ = 264576.

The previous prime is 629203. The next prime is 629243. The reversal of 629216 is 612926.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11846 + ... + 11898.

It is an arithmetic number, because the mean of its divisors is an integer number (40082).

2629216 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 629216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721476).

629216 is an abundant number, since it is smaller than the sum of its proper divisors (813736).

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

629216 is an equidigital number, since it uses as much as digits as its factorization.

629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 62 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 629216 is about 793.2313659961. The cubic root of 629216 is about 85.6906135688.

Subtracting from 629216 its reverse (612926), we obtain a triangular number (16290 = T180).

The spelling of 629216 in words is "six hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2809 2968 5618 5936 11236 11872 19663 22472 39326 44944 78652 89888 157304 314608 629216