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424392912 = 24334612131
BaseRepresentation
bin11001010010111…
…011100011010000
31002120120101122000
4121102323203100
51332121033122
6110040114000
713342165056
oct3122734320
91076511560
10424392912
111a8616749
12ba165900
1369c02388
14405141d6
15273d10ac
hex194bb8d0

424392912 has 80 divisors (see below), whose sum is σ = 1221380160. Its totient is φ = 141091200.

The previous prime is 424392907. The next prime is 424392919. The reversal of 424392912 is 219293424.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424392919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198087 + ... + 200217.

It is an arithmetic number, because the mean of its divisors is an integer number (15267252).

Almost surely, 2424392912 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 424392912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610690080).

424392912 is an abundant number, since it is smaller than the sum of its proper divisors (796987248).

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

424392912 is a wasteful number, since it uses less digits than its factorization.

424392912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2597 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 424392912 is about 20600.7988194633. The cubic root of 424392912 is about 751.4891373365.

The spelling of 424392912 in words is "four hundred twenty-four million, three hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 461 922 1383 1844 2131 2766 3688 4149 4262 5532 6393 7376 8298 8524 11064 12447 12786 16596 17048 19179 22128 24894 25572 33192 34096 38358 49788 51144 57537 66384 76716 99576 102288 115074 153432 199152 230148 306864 460296 920592 982391 1964782 2947173 3929564 5894346 7859128 8841519 11788692 15718256 17683038 23577384 26524557 35366076 47154768 53049114 70732152 106098228 141464304 212196456 424392912