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29916952 = 2313347829
BaseRepresentation
bin111001000011…
…1111100011000
32002021221100021
41302013330120
530124320302
62545120224
7512201302
oct162077430
962257307
1029916952
111598405a
12a029074
136276250
143d8a972
15295e437
hex1c87f18

29916952 has 32 divisors (see below), whose sum is σ = 60656400. Its totient is φ = 13751424.

The previous prime is 29916919. The next prime is 29916959. The reversal of 29916952 is 25961992.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29916899 and 29916908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29916959) 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, 35674 + ... + 36502.

Almost surely, 229916952 is an apocalyptic number.

It is an amenable number.

29916952 is an abundant number, since it is smaller than the sum of its proper divisors (30739448).

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

29916952 is a wasteful number, since it uses less digits than its factorization.

29916952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1191 counting only the distinct ones).

The product of its digits is 87480, while the sum is 43.

The square root of 29916952 is about 5469.6391105812. The cubic root of 29916952 is about 310.4362640081.

The spelling of 29916952 in words is "twenty-nine million, nine hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 347 694 829 1388 1658 2776 3316 4511 6632 9022 10777 18044 21554 36088 43108 86216 287663 575326 1150652 2301304 3739619 7479238 14958476 29916952