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29147808 = 2532343307
BaseRepresentation
bin110111100110…
…0001010100000
32000211212021110
41233030022200
524430212213
62520423320
7502516014
oct157141240
960755243
1029147808
11154a91a8
129917b40
136067131
143c2a544
15285b5c3
hex1bcc2a0

29147808 has 96 divisors (see below), whose sum is σ = 81962496. Its totient is φ = 9047808.

The previous prime is 29147803. The next prime is 29147819. The reversal of 29147808 is 80874192.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×291478082 = 1699189422409728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29147801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94791 + ... + 95097.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 229147808 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 29147808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40981248).

29147808 is an abundant number, since it is smaller than the sum of its proper divisors (52814688).

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

29147808 is a wasteful number, since it uses less digits than its factorization.

29147808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 29147808 is about 5398.8709930874. The cubic root of 29147808 is about 307.7527672475.

The spelling of 29147808 in words is "twenty-nine million, one hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 69 86 92 96 129 138 172 184 258 276 307 344 368 516 552 614 688 736 921 989 1032 1104 1228 1376 1842 1978 2064 2208 2456 2967 3684 3956 4128 4912 5934 7061 7368 7912 9824 11868 13201 14122 14736 15824 21183 23736 26402 28244 29472 31648 39603 42366 47472 52804 56488 79206 84732 94944 105608 112976 158412 169464 211216 225952 303623 316824 338928 422432 607246 633648 677856 910869 1214492 1267296 1821738 2428984 3643476 4857968 7286952 9715936 14573904 29147808