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29929328 = 241113103127
BaseRepresentation
bin111001000101…
…0111101110000
32002022120022122
41302022331300
530130214303
62545253412
7512252342
oct162127560
962276278
1029929328
1115992390
12a034268
13627ba80
143d91292
152962e38
hex1c8af70

29929328 has 80 divisors (see below), whose sum is σ = 69328896. Its totient is φ = 12337920.

The previous prime is 29929309. The next prime is 29929331. The reversal of 29929328 is 82392992.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 235601 + ... + 235727.

Almost surely, 229929328 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 29929328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664448).

29929328 is an abundant number, since it is smaller than the sum of its proper divisors (39399568).

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

29929328 is a wasteful number, since it uses less digits than its factorization.

29929328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 29929328 is about 5470.7703296702. The cubic root of 29929328 is about 310.4790650433.

The spelling of 29929328 in words is "twenty-nine million, nine hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 103 104 127 143 176 206 208 254 286 412 508 572 824 1016 1133 1144 1339 1397 1648 1651 2032 2266 2288 2678 2794 3302 4532 5356 5588 6604 9064 10712 11176 13081 13208 14729 18128 18161 21424 22352 26162 26416 29458 36322 52324 58916 72644 104648 117832 143891 145288 170053 209296 235664 287782 290576 340106 575564 680212 1151128 1360424 1870583 2302256 2720848 3741166 7482332 14964664 29929328