Search a number
-
+
52936632 = 23337157223
BaseRepresentation
bin1100100111101…
…1111110111000
310200121110102000
43021323332320
5102022433012
65130341000
71211645130
oct311737670
9120543360
1052936632
1127977091
121588a760
13ac75c68
14705dac0
1549a9ddc
hex327bfb8

52936632 has 128 divisors (see below), whose sum is σ = 169881600. Its totient is φ = 14961024.

The previous prime is 52936601. The next prime is 52936643. The reversal of 52936632 is 23663925.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 237273 + ... + 237495.

It is an arithmetic number, because the mean of its divisors is an integer number (1327200).

Almost surely, 252936632 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 52936632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84940800).

52936632 is an abundant number, since it is smaller than the sum of its proper divisors (116944968).

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

52936632 is a wasteful number, since it uses less digits than its factorization.

52936632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 52936632 is about 7275.7564555172. The cubic root of 52936632 is about 375.4788123764.

The spelling of 52936632 in words is "fifty-two million, nine hundred thirty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 157 168 189 216 223 252 314 378 446 471 504 628 669 756 892 942 1099 1256 1338 1413 1512 1561 1784 1884 2007 2198 2676 2826 3122 3297 3768 4014 4239 4396 4683 5352 5652 6021 6244 6594 8028 8478 8792 9366 9891 11304 12042 12488 13188 14049 16056 16956 18732 19782 24084 26376 28098 29673 33912 35011 37464 39564 42147 48168 56196 59346 70022 79128 84294 105033 112392 118692 140044 168588 210066 237384 245077 280088 315099 337176 420132 490154 630198 735231 840264 945297 980308 1260396 1470462 1890594 1960616 2205693 2520792 2940924 3781188 4411386 5881848 6617079 7562376 8822772 13234158 17645544 26468316 52936632