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29749928 = 2313416977
BaseRepresentation
bin111000101111…
…1001010101000
32001222110020012
41301133022220
530103444203
62541351052
7510604325
oct161371250
961873205
1029749928
111587a61a
129b68488
136218210
143d45b4c
152929bd8
hex1c5f2a8

29749928 has 32 divisors (see below), whose sum is σ = 61545960. Its totient is φ = 13393920.

The previous prime is 29749921. The next prime is 29749933. The reversal of 29749928 is 82994792.

It can be written as a sum of positive squares in 4 ways, for example, as 7828804 + 21921124 = 2798^2 + 4682^2 .

It is not an unprimeable number, because it can be changed into a prime (29749921) 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 7 ways as a sum of consecutive naturals, for example, 776 + ... + 7752.

Almost surely, 229749928 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 29749928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772980).

29749928 is an abundant number, since it is smaller than the sum of its proper divisors (31796032).

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

29749928 is a wasteful number, since it uses less digits than its factorization.

29749928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7033 counting only the distinct ones).

The product of its digits is 653184, while the sum is 50.

The square root of 29749928 is about 5454.3494570847. The cubic root of 29749928 is about 309.8574717676.

The spelling of 29749928 in words is "twenty-nine million, seven hundred forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 6977 13954 27908 55816 90701 181402 286057 362804 572114 725608 1144228 2288456 3718741 7437482 14874964 29749928