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29259252 = 22331122239
BaseRepresentation
bin110111110011…
…1010111110100
32001001112011000
41233213113310
524442244002
62523043300
7503461641
oct157472764
961045130
1029259252
1115574a00
129970530
1360a5a89
143c58dc8
15287e61c
hex1be75f4

29259252 has 72 divisors (see below), whose sum is σ = 83417600. Its totient is φ = 8862480.

The previous prime is 29259163. The next prime is 29259253. The reversal of 29259252 is 25295292.

It is a super-2 number, since 2×292592522 = 1712207655199008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29259253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11949 + ... + 14187.

Almost surely, 229259252 is an apocalyptic number.

29259252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29259252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41708800).

29259252 is an abundant number, since it is smaller than the sum of its proper divisors (54158348).

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

29259252 is a wasteful number, since it uses less digits than its factorization.

29259252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2255 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 29259252 is about 5409.1821932710. The cubic root of 29259252 is about 308.1444900289.

The spelling of 29259252 in words is "twenty-nine million, two hundred fifty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 2239 3267 4356 4478 6534 6717 8956 13068 13434 20151 24629 26868 40302 49258 60453 73887 80604 98516 120906 147774 221661 241812 270919 295548 443322 541838 664983 812757 886644 1083676 1329966 1625514 2438271 2659932 3251028 4876542 7314813 9753084 14629626 29259252