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12529044 = 223211291091
BaseRepresentation
bin101111110010…
…110110010100
3212120112121200
4233302312110
511201412134
61124312500
7211331553
oct57626624
925515550
1012529044
117088290
124242730
132798a48
141941d9a
151177499
hexbf2d94

12529044 has 72 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 3662400.

The previous prime is 12529031. The next prime is 12529081. The reversal of 12529044 is 44092521.

It is a junction number, because it is equal to n+sod(n) for n = 12528999 and 12529017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10939 + ... + 12029.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 212529044 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 12529044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

12529044 is an abundant number, since it is smaller than the sum of its proper divisors (23244876).

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

12529044 is a wasteful number, since it uses less digits than its factorization.

12529044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12529044 is about 3539.6389646403. The cubic root of 12529044 is about 232.2590497195.

It can be divided in two parts, 1252 and 9044, that added together give a triangular number (10296 = T143).

The spelling of 12529044 in words is "twelve million, five hundred twenty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1091 1276 1914 2182 2871 3273 3828 4364 5742 6546 9819 11484 12001 13092 19638 24002 31639 36003 39276 48004 63278 72006 94917 108009 126556 144012 189834 216018 284751 348029 379668 432036 569502 696058 1044087 1139004 1392116 2088174 3132261 4176348 6264522 12529044