Search a number
-
+
29724474 = 23131931647
BaseRepresentation
bin111000101100…
…0111100111010
32001221011022110
41301120330322
530102140344
62541033150
7510440163
oct161307472
961834273
1029724474
111586248a
129b557b6
136209760
143d3a76a
1529223b9
hex1c58f3a

29724474 has 64 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 8372160.

The previous prime is 29724473. The next prime is 29724511. The reversal of 29724474 is 47442792.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (29724473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45619 + ... + 46265.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 229724474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29724474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

29724474 is an abundant number, since it is smaller than the sum of its proper divisors (39948486).

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

29724474 is a wasteful number, since it uses less digits than its factorization.

29724474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715.

The product of its digits is 112896, while the sum is 39.

The square root of 29724474 is about 5452.0155905867. The cubic root of 29724474 is about 309.7690753345.

The spelling of 29724474 in words is "twenty-nine million, seven hundred twenty-four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 403 494 589 647 741 806 1178 1209 1294 1482 1767 1941 2418 3534 3882 7657 8411 12293 15314 16822 20057 22971 24586 25233 36879 40114 45942 50466 60171 73758 120342 159809 260741 319618 381083 479427 521482 762166 782223 958854 1143249 1564446 2286498 4954079 9908158 14862237 29724474