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2042244432 = 243225156503
BaseRepresentation
bin111100110111010…
…0010110101010000
312021022211202200200
41321232202311100
513140303310212
6534352215200
7101415535254
oct17156426520
95238752620
102042244432
11958880518
1248bb3a500
13267148677
14155334264
15be4596dc
hex79ba2d50

2042244432 has 60 divisors (see below), whose sum is σ = 5738320224. Its totient is φ = 678024000.

The previous prime is 2042244427. The next prime is 2042244553. The reversal of 2042244432 is 2344422402.

2042244432 is a `hidden beast` number, since 2 + 0 + 4 + 224 + 4 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2042244396 and 2042244405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7893 + ... + 64395.

Almost surely, 22042244432 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 2042244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869160112).

2042244432 is an abundant number, since it is smaller than the sum of its proper divisors (3696075792).

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

2042244432 is a wasteful number, since it uses less digits than its factorization.

2042244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56768 (or 56759 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2042244432 is about 45191.1986121192. The cubic root of 2042244432 is about 1268.7300906807.

Adding to 2042244432 its reverse (2344422402), we get a palindrome (4386666834).

The spelling of 2042244432 in words is "two billion, forty-two million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 3012 4016 4518 6024 9036 12048 18072 36144 56503 113006 169509 226012 339018 452024 508527 678036 904048 1017054 1356072 2034108 2712144 4068216 8136432 14182253 28364506 42546759 56729012 85093518 113458024 127640277 170187036 226916048 255280554 340374072 510561108 680748144 1021122216 2042244432