Search a number
-
+
5352092964 = 22328921372
BaseRepresentation
bin1001111110000001…
…00111010100100100
3111210222220111022100
410333000213110210
541430113433324
62243025532100
7246426016401
oct47700472444
914728814270
105352092964
1122a7131729
1210544a4030
13673a9861a
1438ab552a8
15214d054c9
hex13f027524

5352092964 has 81 divisors (see below), whose sum is σ = 13783221907. Its totient is φ = 1751109888.

The previous prime is 5352092951. The next prime is 5352092971. The reversal of 5352092964 is 4692902535.

The square root of 5352092964 is 73158.

It is a perfect power (a square), and thus also a powerful number.

5352092964 is a `hidden beast` number, since 5 + 352 + 0 + 9 + 296 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312228900 + 5039864064 = 17670^2 + 70992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39066304 + ... + 39066440.

Almost surely, 25352092964 is an apocalyptic number.

5352092964 is the 73158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5352092964

5352092964 is an abundant number, since it is smaller than the sum of its proper divisors (8431128943).

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

5352092964 is a wasteful number, since it uses less digits than its factorization.

5352092964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The cubic root of 5352092964 is about 1749.2070381888.

The spelling of 5352092964 in words is "five billion, three hundred fifty-two million, ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 137 178 267 274 356 411 534 548 801 822 1068 1233 1602 1644 2466 3204 4932 7921 12193 15842 18769 23763 24386 31684 36579 37538 47526 48772 56307 71289 73158 75076 95052 109737 112614 142578 146316 168921 219474 225228 285156 337842 438948 675684 1085177 1670441 2170354 3255531 3340882 4340708 5011323 6511062 6681764 9766593 10022646 13022124 15033969 19533186 20045292 30067938 39066372 60135876 148669249 297338498 446007747 594676996 892015494 1338023241 1784030988 2676046482 5352092964