Search a number
-
+
52957224 = 233223113283
BaseRepresentation
bin1100101000000…
…1000000101000
310200122111122200
43022001000220
5102024112344
65131020200
71212062145
oct312010050
9120574580
1052957224
1127990601
121589a660
13ac82448
1470673cc
1549b1069
hex3281028

52957224 has 96 divisors (see below), whose sum is σ = 151519680. Its totient is φ = 16676352.

The previous prime is 52957217. The next prime is 52957231. The reversal of 52957224 is 42275925.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52957217) and next prime (52957231).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186987 + ... + 187269.

It is an arithmetic number, because the mean of its divisors is an integer number (1578330).

Almost surely, 252957224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52957224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75759840).

52957224 is an abundant number, since it is smaller than the sum of its proper divisors (98562456).

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

52957224 is a wasteful number, since it uses less digits than its factorization.

52957224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 52957224 is about 7277.1714285153. The cubic root of 52957224 is about 375.5274923237.

The spelling of 52957224 in words is "fifty-two million, nine hundred fifty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 113 138 184 207 226 276 283 339 414 452 552 566 678 828 849 904 1017 1132 1356 1656 1698 2034 2264 2547 2599 2712 3396 4068 5094 5198 6509 6792 7797 8136 10188 10396 13018 15594 19527 20376 20792 23391 26036 31188 31979 39054 46782 52072 58581 62376 63958 78108 93564 95937 117162 127916 156216 187128 191874 234324 255832 287811 383748 468648 575622 735517 767496 1151244 1471034 2206551 2302488 2942068 4413102 5884136 6619653 8826204 13239306 17652408 26478612 52957224