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29605992 = 23313313061
BaseRepresentation
bin111000011110…
…0000001101000
32001201010210020
41300330001220
530034342432
62534320440
7506434563
oct160740150
961633706
1029605992
1115791469
129ab9120
136197850
143d094da
1528ec22c
hex1c3c068

29605992 has 64 divisors (see below), whose sum is σ = 82306560. Its totient is φ = 8812800.

The previous prime is 29605987. The next prime is 29605997. The reversal of 29605992 is 29950692.

It is an interprime number because it is at equal distance from previous prime (29605987) and next prime (29605997).

It is not an unprimeable number, because it can be changed into a prime (29605997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8142 + ... + 11202.

It is an arithmetic number, because the mean of its divisors is an integer number (1286040).

Almost surely, 229605992 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 29605992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41153280).

29605992 is an abundant number, since it is smaller than the sum of its proper divisors (52700568).

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

29605992 is a wasteful number, since it uses less digits than its factorization.

29605992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 29605992 is about 5441.1388513803. The cubic root of 29605992 is about 309.3569465641.

The spelling of 29605992 in words is "twenty-nine million, six hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3061 3224 4836 6122 9183 9672 12244 18366 24488 36732 39793 73464 79586 94891 119379 159172 189782 238758 284673 318344 379564 477516 569346 759128 955032 1138692 1233583 2277384 2467166 3700749 4934332 7401498 9868664 14802996 29605992