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29668408 = 2371148163
BaseRepresentation
bin111000100101…
…1010000111000
32001211022101221
41301023100320
530043342113
62535521424
7510114550
oct161132070
961738357
1029668408
1115824350
129b29274
1361ba093
143d24160
15291098d
hex1c4b438

29668408 has 32 divisors (see below), whose sum is σ = 69356160. Its totient is φ = 11558880.

The previous prime is 29668403. The next prime is 29668493. The reversal of 29668408 is 80486692.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29668403) 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 7 ways as a sum of consecutive naturals, for example, 23466 + ... + 24697.

It is an arithmetic number, because the mean of its divisors is an integer number (2167380).

Almost surely, 229668408 is an apocalyptic number.

29668408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29668408 is an abundant number, since it is smaller than the sum of its proper divisors (39687752).

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

29668408 is a wasteful number, since it uses less digits than its factorization.

29668408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48187 (or 48183 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 29668408 is about 5446.8713955811. The cubic root of 29668408 is about 309.5741916627.

The spelling of 29668408 in words is "twenty-nine million, six hundred sixty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 48163 96326 192652 337141 385304 529793 674282 1059586 1348564 2119172 2697128 3708551 4238344 7417102 14834204 29668408