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29928808 = 237313839
BaseRepresentation
bin111001000101…
…0110101101000
32002022112121101
41302022311220
530130210213
62545251144
7512251000
oct162126550
962275541
1029928808
1115991a58
12a033ab4
13627b770
143d91000
152962bdd
hex1c8ad68

29928808 has 64 divisors (see below), whose sum is σ = 70560000. Its totient is φ = 11825856.

The previous prime is 29928803. The next prime is 29928809. The reversal of 29928808 is 80882992.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29928803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35253 + ... + 36091.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 229928808 is an apocalyptic number.

29928808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29928808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280000).

29928808 is an abundant number, since it is smaller than the sum of its proper divisors (40631192).

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

29928808 is a wasteful number, since it uses less digits than its factorization.

29928808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 29928808 is about 5470.7228041640. The cubic root of 29928808 is about 310.4772669179.

The spelling of 29928808 in words is "twenty-nine million, nine hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 686 728 839 1274 1372 1678 2548 2744 3356 4459 5096 5873 6712 8918 10907 11746 17836 21814 23492 35672 41111 43628 46984 76349 82222 87256 152698 164444 287777 305396 328888 534443 575554 610792 1068886 1151108 2137772 2302216 3741101 4275544 7482202 14964404 29928808