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29911992 = 23311293907
BaseRepresentation
bin111001000011…
…0101110111000
32002021200112120
41302012232320
530124140432
62545041240
7512150655
oct162065670
962250476
1029911992
1115980360
12a026220
136273c06
143d88c2c
15295cc2c
hex1c86bb8

29911992 has 64 divisors (see below), whose sum is σ = 84412800. Its totient is φ = 8749440.

The previous prime is 29911979. The next prime is 29912009.

29911992 is nontrivially palindromic in base 10.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 5703 + ... + 9609.

It is an arithmetic number, because the mean of its divisors is an integer number (1318950).

Almost surely, 229911992 is an apocalyptic number.

29911992 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 29911992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42206400).

29911992 is an abundant number, since it is smaller than the sum of its proper divisors (54500808).

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

29911992 is a wasteful number, since it uses less digits than its factorization.

29911992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3952 counting only the distinct ones).

The product of its digits is 26244, while the sum is 42.

The square root of 29911992 is about 5469.1856797882. The cubic root of 29911992 is about 310.4191070801.

It can be divided in two parts, 29911 and 992, that added together give a palindrome (30903).

The spelling of 29911992 in words is "twenty-nine million, nine hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 3907 7656 7814 11721 15628 23442 31256 42977 46884 85954 93768 113303 128931 171908 226606 257862 339909 343816 453212 515724 679818 906424 1031448 1246333 1359636 2492666 2719272 3738999 4985332 7477998 9970664 14955996 29911992