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629538816 = 21731601
BaseRepresentation
bin100101100001100…
…000000000000000
31121212120212220110
4211201200000000
52242130220231
6142245111320
721412664064
oct4541400000
91555525813
10629538816
112a33a3915
121569b8540
13a056b99a
145d875aa4
153a405046
hex25860000

629538816 has 72 divisors (see below), whose sum is σ = 1679812344. Its totient is φ = 209715200.

The previous prime is 629538809. The next prime is 629538829. The reversal of 629538816 is 618835926.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392416 + ... + 394016.

It is an arithmetic number, because the mean of its divisors is an integer number (23330727).

Almost surely, 2629538816 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 629538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839906172).

629538816 is an abundant number, since it is smaller than the sum of its proper divisors (1050273528).

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

629538816 is an frugal number, since it uses more digits than its factorization.

629538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1606 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 629538816 is about 25090.6121089144. The cubic root of 629538816 is about 857.0526543807.

The spelling of 629538816 in words is "six hundred twenty-nine million, five hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1601 2048 3072 3202 4096 4803 6144 6404 8192 9606 12288 12808 16384 19212 24576 25616 32768 38424 49152 51232 65536 76848 98304 102464 131072 153696 196608 204928 307392 393216 409856 614784 819712 1229568 1639424 2459136 3278848 4918272 6557696 9836544 13115392 19673088 26230784 39346176 52461568 78692352 104923136 157384704 209846272 314769408 629538816