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29224836 = 2232172532
BaseRepresentation
bin110111101111…
…0111110000100
32000222202221100
41233132332010
524440143321
62522220100
7503256414
oct157367604
960882840
1029224836
1115551063
129954630
136093204
143c4a644
152874326
hex1bdef84

29224836 has 81 divisors (see below), whose sum is σ = 79983631. Its totient is φ = 8995584.

The previous prime is 29224829. The next prime is 29224849. The reversal of 29224836 is 63842292.

The square root of 29224836 is 5406.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7322436 + 21902400 = 2706^2 + 4680^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29224836.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 551386 + ... + 551438.

Almost surely, 229224836 is an apocalyptic number.

29224836 is the 5406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29224836

29224836 is an abundant number, since it is smaller than the sum of its proper divisors (50758795).

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

29224836 is a wasteful number, since it uses less digits than its factorization.

29224836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 29224836 is about 308.0236249939.

Multiplying 29224836 by its sum of digits (36), we get a square (1052094096 = 324362).

29224836 divided by its sum of digits (36) gives a square (811801 = 9012).

The spelling of 29224836 in words is "twenty-nine million, two hundred twenty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 289 306 318 477 578 612 636 867 901 954 1156 1734 1802 1908 2601 2703 2809 3468 3604 5202 5406 5618 8109 8427 10404 10812 11236 15317 16218 16854 25281 30634 32436 33708 45951 47753 50562 61268 91902 95506 101124 137853 143259 183804 191012 275706 286518 429777 551412 573036 811801 859554 1623602 1719108 2435403 3247204 4870806 7306209 9741612 14612418 29224836