Search a number
-
+
5645830432 = 251129797001
BaseRepresentation
bin1010100001000010…
…01000100100100000
3112120110121220100211
411100201020210200
543030313033212
62332121423504
7256623524014
oct52041104440
915513556324
105645830432
112437a18a70
12111693ab94
136bc8b2a88
143b7b78544
152309c89a7
hex150848920

5645830432 has 96 divisors (see below), whose sum is σ = 12704428800. Its totient is φ = 2446080000.

The previous prime is 5645830423. The next prime is 5645830471. The reversal of 5645830432 is 2340385465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802932 + ... + 809932.

It is an arithmetic number, because the mean of its divisors is an integer number (132337800).

Almost surely, 25645830432 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 5645830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352214400).

5645830432 is an abundant number, since it is smaller than the sum of its proper divisors (7058598368).

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

5645830432 is a wasteful number, since it uses less digits than its factorization.

5645830432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 5645830432 is about 75138.7412191607. The cubic root of 5645830432 is about 1780.6392553089.

The spelling of 5645830432 in words is "five billion, six hundred forty-five million, eight hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 79 88 116 158 176 232 316 319 352 464 632 638 869 928 1264 1276 1738 2291 2528 2552 3476 4582 5104 6952 7001 9164 10208 13904 14002 18328 25201 27808 28004 36656 50402 56008 73312 77011 100804 112016 154022 201608 203029 224032 308044 403216 406058 553079 616088 806432 812116 1106158 1232176 1624232 2212316 2233319 2464352 3248464 4424632 4466638 6083869 6496928 8849264 8933276 12167738 16039291 17698528 17866552 24335476 32078582 35733104 48670952 64157164 71466208 97341904 128314328 176432201 194683808 256628656 352864402 513257312 705728804 1411457608 2822915216 5645830432