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29725668 = 22327117959
BaseRepresentation
bin111000101100…
…1001111100100
32001221012221200
41301121033210
530102210133
62541042500
7510443520
oct161311744
961835850
1029725668
1115863375
129b56430
13620a16b
143d3ad80
152922913
hex1c593e4

29725668 has 36 divisors (see below), whose sum is σ = 85874880. Its totient is φ = 8492976.

The previous prime is 29725651. The next prime is 29725669. The reversal of 29725668 is 86652792.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (29725669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58728 + ... + 59231.

Almost surely, 229725668 is an apocalyptic number.

29725668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29725668 is an abundant number, since it is smaller than the sum of its proper divisors (56149212).

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

29725668 is a wasteful number, since it uses less digits than its factorization.

29725668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117976 (or 117971 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 29725668 is about 5452.1250902744. The cubic root of 29725668 is about 309.7732229753.

The spelling of 29725668 in words is "twenty-nine million, seven hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 117959 235918 353877 471836 707754 825713 1061631 1415508 1651426 2123262 2477139 3302852 4246524 4954278 7431417 9908556 14862834 29725668