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29992872 = 23371331443
BaseRepresentation
bin111001001101…
…0011110101000
32002102210111010
41302122132220
530134232442
62550503520
7512635530
oct162323650
962383433
1029992872
1115a260a8
12a064ba0
1362a1980
143daa4c0
152976b9c
hex1c9a7a8

29992872 has 128 divisors (see below), whose sum is σ = 95477760. Its totient is φ = 7637760.

The previous prime is 29992867. The next prime is 29992883. The reversal of 29992872 is 27829992.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67483 + ... + 67925.

It is an arithmetic number, because the mean of its divisors is an integer number (745920).

Almost surely, 229992872 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 29992872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47738880).

29992872 is an abundant number, since it is smaller than the sum of its proper divisors (65484888).

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

29992872 is a wasteful number, since it uses less digits than its factorization.

29992872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 29992872 is about 5476.5748419975. The cubic root of 29992872 is about 310.6986393646.

The spelling of 29992872 in words is "twenty-nine million, nine hundred ninety-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 443 546 651 728 744 806 868 886 1092 1209 1302 1329 1612 1736 1772 2184 2418 2604 2658 2821 3101 3224 3544 4836 5208 5316 5642 5759 6202 8463 9303 9672 10632 11284 11518 12404 13733 16926 17277 18606 22568 23036 24808 27466 33852 34554 37212 40313 41199 46072 54932 67704 69108 74424 80626 82398 96131 109864 120939 138216 161252 164796 178529 192262 241878 288393 322504 329592 357058 384524 483756 535587 576786 714116 769048 967512 1071174 1153572 1249703 1428232 2142348 2307144 2499406 3749109 4284696 4998812 7498218 9997624 14996436 29992872