Search a number
-
+
52214526 = 232713127251
BaseRepresentation
bin1100011100101…
…1101011111110
310122020202212100
43013023223332
5101331331101
65103045530
71202546640
oct307135376
9118222770
1052214526
1127523601
12155a08a6
13aa82390
146d12890
1548b5e86
hex31cbafe

52214526 has 96 divisors (see below), whose sum is σ = 140894208. Its totient is φ = 13608000.

The previous prime is 52214521. The next prime is 52214537. The reversal of 52214526 is 62541225.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52214526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52214521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 207901 + ... + 208151.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 252214526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52214526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

52214526 is an abundant number, since it is smaller than the sum of its proper divisors (88679682).

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

52214526 is a wasteful number, since it uses less digits than its factorization.

52214526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 52214526 is about 7225.9619428835. The cubic root of 52214526 is about 373.7636939387.

The spelling of 52214526 in words is "fifty-two million, two hundred fourteen thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 127 182 234 251 254 273 381 502 546 753 762 819 889 1143 1506 1638 1651 1757 1778 2259 2286 2667 3263 3302 3514 4518 4953 5271 5334 6526 8001 9789 9906 10542 11557 14859 15813 16002 19578 22841 23114 29367 29718 31626 31877 34671 45682 58734 63754 68523 69342 95631 104013 137046 191262 205569 208026 223139 286893 411138 414401 446278 573786 669417 828802 1243203 1338834 2008251 2486406 2900807 3729609 4016502 5801614 7459218 8702421 17404842 26107263 52214526