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29717968 = 247265339
BaseRepresentation
bin111000101011…
…1010111010000
32001220211101111
41301113113100
530101433333
62540543104
7510412210
oct161272720
961824344
1029717968
1115858605
129b51a94
1362067c7
143d38240
1529204cd
hex1c575d0

29717968 has 20 divisors (see below), whose sum is σ = 65804320. Its totient is φ = 12736224.

The previous prime is 29717939. The next prime is 29717981. The reversal of 29717968 is 86971792.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 132558 + ... + 132781.

It is an arithmetic number, because the mean of its divisors is an integer number (3290216).

Almost surely, 229717968 is an apocalyptic number.

29717968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29717968 is an abundant number, since it is smaller than the sum of its proper divisors (36086352).

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

29717968 is a wasteful number, since it uses less digits than its factorization.

29717968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265354 (or 265348 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 29717968 is about 5451.4188978650. The cubic root of 29717968 is about 309.7464732563.

The spelling of 29717968 in words is "twenty-nine million, seven hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 265339 530678 1061356 1857373 2122712 3714746 4245424 7429492 14858984 29717968