Search a number
-
+
5347265625 = 3458132
BaseRepresentation
bin1001111101011100…
…01100110001011001
3111210122211020110000
410332232030301121
541422400000000
62242334243213
7246340002462
oct47656146131
914718736400
105347265625
1122a4434899
121052956509
13672a98300
1438a259d69
152146a0000
hex13eb8cc59

5347265625 has 135 divisors (see below), whose sum is σ = 10812006183. Its totient is φ = 2632500000.

The previous prime is 5347265569. The next prime is 5347265657. The reversal of 5347265625 is 5265627435.

The square root of 5347265625 is 73125.

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

It can be written as a sum of positive squares in 13 ways, for example, as 158080329 + 5189185296 = 12573^2 + 72036^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5347265625 - 215 = 5347232857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (1512000) is a multiple of the sum of its prime divisors (21).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 411328119 + ... + 411328131.

Almost surely, 25347265625 is an apocalyptic number.

5347265625 is the 73125-th square number.

5347265625 is the 36563-rd centered octagonal number.

It is an amenable number.

5347265625 is an abundant number, since it is smaller than the sum of its proper divisors (5464740558).

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

5347265625 is an frugal number, since it uses more digits than its factorization.

5347265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The cubic root of 5347265625 is about 1748.6809788579.

The spelling of 5347265625 in words is "five billion, three hundred forty-seven million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 125 135 169 195 225 325 351 375 405 507 585 625 675 845 975 1053 1125 1521 1625 1755 1875 2025 2535 2925 3125 3375 4225 4563 4875 5265 5625 7605 8125 8775 9375 10125 12675 13689 14625 15625 16875 21125 22815 24375 26325 28125 38025 40625 43875 46875 50625 63375 68445 73125 78125 84375 105625 114075 121875 131625 140625 190125 203125 219375 234375 253125 316875 342225 365625 390625 421875 528125 570375 609375 658125 703125 950625 1015625 1096875 1171875 1265625 1584375 1711125 1828125 2109375 2640625 2851875 3046875 3290625 3515625 4753125 5078125 5484375 6328125 7921875 8555625 9140625 10546875 13203125 14259375 15234375 16453125 23765625 27421875 31640625 39609375 42778125 45703125 66015625 71296875 82265625 118828125 137109375 198046875 213890625 356484375 411328125 594140625 1069453125 1782421875 5347265625