Search a number
-
+
52313625 = 3253721373
BaseRepresentation
bin1100011110001…
…1111000011001
310122102210210200
43013203320121
5101343014000
65105132413
71203441600
oct307437031
9118383720
1052313625
1127591001
121562a109
13aab8510
146d3aa37
1548d5500
hex31e3e19

52313625 has 144 divisors (see below), whose sum is σ = 119757456. Its totient is φ = 21772800.

The previous prime is 52313617. The next prime is 52313627. The reversal of 52313625 is 52631325.

52313625 is a `hidden beast` number, since 5 + 2 + 31 + 3 + 625 = 666.

It is a Cunningham number, because it is equal to 3743+1.

It can be written as a sum of positive squares in 8 ways, for example, as 25190361 + 27123264 = 5019^2 + 5208^2 .

It is not a de Polignac number, because 52313625 - 23 = 52313617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52313627) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 716589 + ... + 716661.

It is an arithmetic number, because the mean of its divisors is an integer number (831649).

Almost surely, 252313625 is an apocalyptic number.

It is an amenable number.

52313625 is an abundant number, since it is smaller than the sum of its proper divisors (67443831).

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

52313625 is a wasteful number, since it uses less digits than its factorization.

52313625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 52313625 is about 7232.8158417037. The cubic root of 52313625 is about 374.0000023831. Note that the first 5 decimals are identical.

The spelling of 52313625 in words is "fifty-two million, three hundred thirteen thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 49 63 65 73 75 91 105 117 125 147 175 195 219 225 245 273 315 325 365 375 441 455 511 525 585 637 657 735 819 875 949 975 1095 1125 1225 1365 1533 1575 1625 1825 1911 2205 2275 2555 2625 2847 2925 3185 3285 3577 3675 4095 4599 4745 4875 5475 5733 6125 6643 6825 7665 7875 8541 9125 9555 10731 11025 11375 12775 14235 14625 15925 16425 17885 18375 19929 20475 22995 23725 27375 28665 32193 33215 34125 38325 42705 46501 47775 53655 55125 59787 63875 71175 79625 82125 89425 99645 102375 114975 118625 139503 143325 160965 166075 191625 213525 232505 238875 268275 298935 355875 418509 447125 498225 574875 697515 716625 804825 830375 1067625 1162525 1341375 1494675 2092545 2491125 3487575 4024125 5812625 7473375 10462725 17437875 52313625