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29945256 = 23311313659
BaseRepresentation
bin111001000111…
…0110110101000
32002100101011120
41302032312220
530131222011
62545455240
7512346645
oct162166650
962311146
1029945256
11159a3350
12a041520
1362860b3
143d96dcc
152967a06
hex1c8eda8

29945256 has 64 divisors (see below), whose sum is σ = 84326400. Its totient is φ = 8779200.

The previous prime is 29945233. The next prime is 29945269. The reversal of 29945256 is 65254992.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6355 + ... + 10013.

It is an arithmetic number, because the mean of its divisors is an integer number (1317600).

Almost surely, 229945256 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 29945256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42163200).

29945256 is an abundant number, since it is smaller than the sum of its proper divisors (54381144).

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

29945256 is a wasteful number, since it uses less digits than its factorization.

29945256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3706 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 29945256 is about 5472.2258725312. The cubic root of 29945256 is about 310.5341329188.

The spelling of 29945256 in words is "twenty-nine million, nine hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 3659 4092 7318 8184 10977 14636 21954 29272 40249 43908 80498 87816 113429 120747 160996 226858 241494 321992 340287 453716 482988 680574 907432 965976 1247719 1361148 2495438 2722296 3743157 4990876 7486314 9981752 14972628 29945256