Search a number
-
+
5272938225 = 32524721032
BaseRepresentation
bin1001110100100101…
…01010011011110001
3111121110222000102100
410322102222123301
541244333010400
62231121211013
7244445143512
oct47222523361
914543860370
105272938225
112266488595
121031a90a69
13660572bb9
1438042ca09
1520cdbc100
hex13a4aa6f1

5272938225 has 81 divisors (see below), whose sum is σ = 9744234123. Its totient is φ = 2725676640.

The previous prime is 5272938169. The next prime is 5272938239. The reversal of 5272938225 is 5228392725.

The square root of 5272938225 is 72615.

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

5272938225 is a `hidden beast` number, since 527 + 29 + 3 + 82 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1898257761 + 3374680464 = 43569^2 + 58092^2 .

It is not a de Polignac number, because 5272938225 - 211 = 5272936177 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51193524 + ... + 51193626.

Almost surely, 25272938225 is an apocalyptic number.

5272938225 is the 72615-th square number.

5272938225 is the 36308-th centered octagonal number.

It is an amenable number.

5272938225 is a deficient number, since it is larger than the sum of its proper divisors (4471295898).

5272938225 is a wasteful number, since it uses less digits than its factorization.

5272938225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The cubic root of 5272938225 is about 1740.5408792145.

The spelling of 5272938225 in words is "five billion, two hundred seventy-two million, nine hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 103 141 225 235 309 423 515 705 927 1175 1545 2115 2209 2575 3525 4635 4841 6627 7725 10575 10609 11045 14523 19881 23175 24205 31827 33135 43569 53045 55225 72615 95481 99405 121025 159135 165675 217845 227527 265225 363075 477405 497025 498623 682581 795675 1089225 1137635 1495869 2047743 2387025 2493115 3412905 4487607 5688175 7479345 10238715 12465575 17064525 22438035 23435281 37396725 51193575 70305843 112190175 117176405 210917529 351529215 585882025 1054587645 1757646075 5272938225