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29749968 = 2432206597
BaseRepresentation
bin111000101111…
…1001011010000
32001222110021200
41301133023100
530103444333
62541351200
7510604413
oct161371320
961873250
1029749968
111587a656
129b68500
136218241
143d45b7a
152929c13
hex1c5f2d0

29749968 has 30 divisors (see below), whose sum is σ = 83258994. Its totient is φ = 9916608.

The previous prime is 29749963. The next prime is 29750009. The reversal of 29749968 is 86994792.

29749968 is a `hidden beast` number, since 2 + 97 + 499 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23155344 + 6594624 = 4812^2 + 2568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29749963) 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 5 ways as a sum of consecutive naturals, for example, 103155 + ... + 103442.

Almost surely, 229749968 is an apocalyptic number.

It is an amenable number.

29749968 is an abundant number, since it is smaller than the sum of its proper divisors (53509026).

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

29749968 is a wasteful number, since it uses less digits than its factorization.

29749968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206611 (or 206602 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 29749968 is about 5454.3531238819. The cubic root of 29749968 is about 309.8576106396.

The spelling of 29749968 in words is "twenty-nine million, seven hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 206597 413194 619791 826388 1239582 1652776 1859373 2479164 3305552 3718746 4958328 7437492 9916656 14874984 29749968