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2042324032 = 26711340343
BaseRepresentation
bin111100110111011…
…0110010001000000
312021022222210212211
41321232312101000
513140313332112
6534354031504
7101416316320
oct17156662100
95238883784
102042324032
11958925301
1248bb78594
13267175978
14155355280
15be4730a7
hex79bb6440

2042324032 has 56 divisors (see below), whose sum is σ = 4672803456. Its totient is φ = 867514368.

The previous prime is 2042323991. The next prime is 2042324093. The reversal of 2042324032 is 2304232402.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2042323994 and 2042324012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30453 + ... + 70795.

Almost surely, 22042324032 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 2042324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336401728).

2042324032 is an abundant number, since it is smaller than the sum of its proper divisors (2630479424).

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

2042324032 is a wasteful number, since it uses less digits than its factorization.

2042324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40475 (or 40465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2042324032 is about 45192.0793060023. The cubic root of 2042324032 is about 1268.7465741145.

Adding to 2042324032 its reverse (2304232402), we get a palindrome (4346556434).

The spelling of 2042324032 in words is "two billion, forty-two million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 25312 40343 50624 80686 161372 282401 322744 564802 645488 1129604 1290976 2259208 2581952 4518416 4558759 9036832 9117518 18073664 18235036 31911313 36470072 63822626 72940144 127645252 145880288 255290504 291760576 510581008 1021162016 2042324032