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629212128 = 25321131063
BaseRepresentation
bin100101100000010…
…000001111100000
31121211222021202220
4211200100033200
52242034242003
6142234111040
721410133456
oct4540201740
91554867686
10629212128
112a31a0426
1215687b480
13a048608c
145d7cc9d6
153a38d353
hex258103e0

629212128 has 48 divisors (see below), whose sum is σ = 1659563136. Its totient is φ = 208736640.

The previous prime is 629212099. The next prime is 629212139. The reversal of 629212128 is 821212926.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4725 + ... + 35787.

It is an arithmetic number, because the mean of its divisors is an integer number (34574232).

Almost surely, 2629212128 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 629212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829781568).

629212128 is an abundant number, since it is smaller than the sum of its proper divisors (1030351008).

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

629212128 is a wasteful number, since it uses less digits than its factorization.

629212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31287 (or 31279 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 629212128 is about 25084.1011000992. The cubic root of 629212128 is about 856.9043779726.

The spelling of 629212128 in words is "six hundred twenty-nine million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 20256 31063 62126 93189 124252 186378 248504 372756 497008 745512 994016 1491024 2982048 6554293 13108586 19662879 26217172 39325758 52434344 78651516 104868688 157303032 209737376 314606064 629212128