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29113992 = 2334179251
BaseRepresentation
bin110111100001…
…1111010001000
32000210010220000
41233003322020
524423121432
62520003000
7502315305
oct157037210
960703800
1029113992
1115485856
129900460
13605491b
143c1c0ac
15285157c
hex1bc3e88

29113992 has 80 divisors (see below), whose sum is σ = 82328400. Its totient is φ = 9612000.

The previous prime is 29113969. The next prime is 29114003. The reversal of 29113992 is 29931192.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 115867 + ... + 116117.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 229113992 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 29113992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41164200).

29113992 is an abundant number, since it is smaller than the sum of its proper divisors (53214408).

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

29113992 is a wasteful number, since it uses less digits than its factorization.

29113992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 29113992 is about 5395.7383183398. The cubic root of 29113992 is about 307.6337074685.

It can be divided in two parts, 2911 and 3992, that added together give a triangular number (6903 = T117).

The spelling of 29113992 in words is "twenty-nine million, one hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 179 216 251 324 358 502 537 648 716 753 1004 1074 1432 1506 1611 2008 2148 2259 3012 3222 4296 4518 4833 6024 6444 6777 9036 9666 12888 13554 14499 18072 19332 20331 27108 28998 38664 40662 44929 54216 57996 81324 89858 115992 134787 162648 179716 269574 359432 404361 539148 808722 1078296 1213083 1617444 2426166 3234888 3639249 4852332 7278498 9704664 14556996 29113992