Search a number
-
+
29364768 = 253411329
BaseRepresentation
bin111000000000…
…1001000100000
32001020212220000
41300001020200
530004133033
62525220000
7504411366
oct160011040
961225800
1029364768
1115637204
129a01600
136111b04
143c85636
1528a0a13
hex1c01220

29364768 has 60 divisors (see below), whose sum is σ = 86368590. Its totient is φ = 9787392.

The previous prime is 29364737. The next prime is 29364773. The reversal of 29364768 is 86746392.

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 2862864 = 5148^2 + 1692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3073 + ... + 8256.

Almost surely, 229364768 is an apocalyptic number.

It is an amenable number.

29364768 is an abundant number, since it is smaller than the sum of its proper divisors (57003822).

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

29364768 is a wasteful number, since it uses less digits than its factorization.

29364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11334 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 29364768 is about 5418.9268310248. The cubic root of 29364768 is about 308.5144603827.

The spelling of 29364768 in words is "twenty-nine million, three hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 11329 22658 33987 45316 67974 90632 101961 135948 181264 203922 271896 305883 362528 407844 543792 611766 815688 917649 1087584 1223532 1631376 1835298 2447064 3262752 3670596 4894128 7341192 9788256 14682384 29364768