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634529472 = 26319281619
BaseRepresentation
bin100101110100100…
…010011011000000
31122012222102210120
4211310202123000
52244414420342
6142544100240
721503261103
oct4564423300
91565872716
10634529472
112a61a2425
12158604680
13a15c8435
14603b473a
153aa8daec
hex25d226c0

634529472 has 112 divisors (see below), whose sum is σ = 1776374400. Its totient is φ = 199342080.

The previous prime is 634529447. The next prime is 634529509. The reversal of 634529472 is 274925436.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 1024779 + ... + 1025397.

Almost surely, 2634529472 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 634529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888187200).

634529472 is an abundant number, since it is smaller than the sum of its proper divisors (1141844928).

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

634529472 is a wasteful number, since it uses less digits than its factorization.

634529472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 634529472 is about 25189.8684395135. The cubic root of 634529472 is about 859.3114517540.

The spelling of 634529472 in words is "six hundred thirty-four million, five hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 281 304 456 562 608 619 843 912 1124 1216 1238 1686 1824 1857 2248 2476 3372 3648 3714 4496 4952 5339 6744 7428 8992 9904 10678 11761 13488 14856 16017 17984 19808 21356 23522 26976 29712 32034 35283 39616 42712 47044 53952 59424 64068 70566 85424 94088 118848 128136 141132 170848 173939 188176 256272 282264 341696 347878 376352 512544 521817 564528 695756 752704 1025088 1043634 1129056 1391512 2087268 2258112 2783024 3304841 4174536 5566048 6609682 8349072 9914523 11132096 13219364 16698144 19829046 26438728 33396288 39658092 52877456 79316184 105754912 158632368 211509824 317264736 634529472