Search a number
-
+
5589250464 = 253729291279
BaseRepresentation
bin1010011010010010…
…10011000110100000
3112102112011100020110
411031021103012200
542421322003324
62322341011320
7255335562600
oct51511230640
915375140213
105589250464
112408a93666
1210bb9b3b40
136b0c626c5
143b044ac00
1522aa4e329
hex14d2531a0

5589250464 has 144 divisors (see below), whose sum is σ = 17098905600. Its totient is φ = 1593962496.

The previous prime is 5589250453. The next prime is 5589250519. The reversal of 5589250464 is 4640529855.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4369377 + ... + 4370655.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 25589250464 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 5589250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549452800).

5589250464 is an abundant number, since it is smaller than the sum of its proper divisors (11509655136).

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

5589250464 is a wasteful number, since it uses less digits than its factorization.

5589250464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 5589250464 is about 74761.2898765130. The cubic root of 5589250464 is about 1774.6710190009.

The spelling of 5589250464 in words is "five billion, five hundred eighty-nine million, two hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 929 1176 1279 1568 1858 2352 2558 2787 3716 3837 4704 5116 5574 6503 7432 7674 8953 10232 11148 13006 14864 15348 17906 19509 20464 22296 26012 26859 29728 30696 35812 39018 40928 44592 45521 52024 53718 61392 62671 71624 78036 89184 91042 104048 107436 122784 125342 136563 143248 156072 182084 188013 208096 214872 250684 273126 286496 312144 364168 376026 429744 501368 546252 624288 728336 752052 859488 1002736 1092504 1188191 1456672 1504104 2005472 2185008 2376382 3008208 3564573 4370016 4752764 6016416 7129146 8317337 9505528 14258292 16634674 19011056 24952011 28516584 33269348 38022112 49904022 57033168 58221359 66538696 99808044 114066336 116442718 133077392 174664077 199616088 232885436 266154784 349328154 399232176 465770872 698656308 798464352 931541744 1397312616 1863083488 2794625232 5589250464