Search a number
-
+
5297724648 = 23364092221
BaseRepresentation
bin1001110111100010…
…01101110011101000
3111200012121022000000
410323301031303220
541322204142043
62233404343000
7245165626236
oct47361156350
914605538000
105297724648
112279477a37
12103a244a60
13665740b18
14383841956
152101662d3
hex13bc4dce8

5297724648 has 112 divisors (see below), whose sum is σ = 14936172900. Its totient is φ = 1760797440.

The previous prime is 5297724599. The next prime is 5297724659. The reversal of 5297724648 is 8464277925.

5297724648 is a `hidden beast` number, since 529 + 7 + 72 + 4 + 6 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4725462564 + 572262084 = 68742^2 + 23922^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5297724594 and 5297724603.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2384178 + ... + 2386398.

Almost surely, 25297724648 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 5297724648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468086450).

5297724648 is an abundant number, since it is smaller than the sum of its proper divisors (9638448252).

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

5297724648 is a wasteful number, since it uses less digits than its factorization.

5297724648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2635 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 5297724648 is about 72785.4700335170. The cubic root of 5297724648 is about 1743.2638619854.

The spelling of 5297724648 in words is "five billion, two hundred ninety-seven million, seven hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 409 486 648 729 818 972 1227 1458 1636 1944 2221 2454 2916 3272 3681 4442 4908 5832 6663 7362 8884 9816 11043 13326 14724 17768 19989 22086 26652 29448 33129 39978 44172 53304 59967 66258 79956 88344 99387 119934 132516 159912 179901 198774 239868 265032 298161 359802 397548 479736 539703 596322 719604 795096 908389 1079406 1192644 1439208 1619109 1816778 2158812 2385288 2725167 3238218 3633556 4317624 5450334 6476436 7267112 8175501 10900668 12952872 16351002 21801336 24526503 32702004 49053006 65404008 73579509 98106012 147159018 196212024 220738527 294318036 441477054 588636072 662215581 882954108 1324431162 1765908216 2648862324 5297724648