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29933248 = 261134139
BaseRepresentation
bin111001000101…
…1111011000000
32002022202200211
41302023323000
530130330443
62545323504
7512266642
oct162137300
962282624
1029933248
1115995324
12a036594
1362807a7
143d92892
15296419d
hex1c8bec0

29933248 has 28 divisors (see below), whose sum is σ = 59938920. Its totient is φ = 14830592.

The previous prime is 29933231. The next prime is 29933251. The reversal of 29933248 is 84233992.

It is a self number, because there is not a number n which added to its sum of digits gives 29933248.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5163 + ... + 9301.

Almost surely, 229933248 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 29933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29969460).

29933248 is an abundant number, since it is smaller than the sum of its proper divisors (30005672).

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

29933248 is a wasteful number, since it uses less digits than its factorization.

29933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4254 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 29933248 is about 5471.1285855845. The cubic root of 29933248 is about 310.4926194717.

It can be divided in two parts, 2993 and 3248, that added together give a square (6241 = 792).

The spelling of 29933248 in words is "twenty-nine million, nine hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 4139 7232 8278 16556 33112 66224 132448 264896 467707 935414 1870828 3741656 7483312 14966624 29933248