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29974768 = 2431223271
BaseRepresentation
bin111001001011…
…0000011110000
32002101212122121
41302112003300
530133143033
62550244024
7512531665
oct162260360
962355577
1029974768
1115a1353a
12a056614
136296665
143da3a6c
15297162d
hex1c960f0

29974768 has 40 divisors (see below), whose sum is σ = 60440576. Its totient is φ = 14385600.

The previous prime is 29974759. The next prime is 29974771. The reversal of 29974768 is 86747992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110473 + ... + 110743.

Almost surely, 229974768 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 29974768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30220288).

29974768 is an abundant number, since it is smaller than the sum of its proper divisors (30465808).

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

29974768 is a wasteful number, since it uses less digits than its factorization.

29974768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The square root of 29974768 is about 5474.9217346004. The cubic root of 29974768 is about 310.6361131718.

The spelling of 29974768 in words is "twenty-nine million, nine hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 223 248 271 446 496 542 892 1084 1784 2168 3568 4336 6913 8401 13826 16802 27652 33604 55304 60433 67208 110608 120866 134416 241732 483464 966928 1873423 3746846 7493692 14987384 29974768