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29921256 = 2332537841
BaseRepresentation
bin111001000100…
…0111111101000
32002022011020200
41302020333220
530124440011
62545152200
7512216661
oct162107750
962264220
1029921256
1115987312
12a02b660
1362781b1
143d8c368
152960856
hex1c88fe8

29921256 has 48 divisors (see below), whose sum is σ = 82576260. Its totient is φ = 9784320.

The previous prime is 29921237. The next prime is 29921273. The reversal of 29921256 is 65212992.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29877156 + 44100 = 5466^2 + 210^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29921256.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 105 + ... + 7736.

Almost surely, 229921256 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 29921256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41288130).

29921256 is an abundant number, since it is smaller than the sum of its proper divisors (52655004).

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

29921256 is a wasteful number, since it uses less digits than its factorization.

29921256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7899 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 29921256 is about 5470.0325410367. The cubic root of 29921256 is about 310.4511502573.

The spelling of 29921256 in words is "twenty-nine million, nine hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 7841 15682 23523 31364 47046 62728 70569 94092 141138 188184 282276 415573 564552 831146 1246719 1662292 2493438 3324584 3740157 4986876 7480314 9973752 14960628 29921256