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52664832 = 2932111039
BaseRepresentation
bin1100100011100…
…1101000000000
310200002122120100
43020321220000
5101440233312
65120442400
71206433533
oct310715000
9120078510
1052664832
1127800960
1215779400
13abac32c
146dcca1a
1549545dc
hex3239a00

52664832 has 120 divisors (see below), whose sum is σ = 165971520. Its totient is φ = 15943680.

The previous prime is 52664831. The next prime is 52664837. The reversal of 52664832 is 23846625.

52664832 is a `hidden beast` number, since 5 + 2 + 6 + 648 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52664831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50169 + ... + 51207.

It is an arithmetic number, because the mean of its divisors is an integer number (1383096).

Almost surely, 252664832 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 52664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82985760).

52664832 is an abundant number, since it is smaller than the sum of its proper divisors (113306688).

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

52664832 is a wasteful number, since it uses less digits than its factorization.

52664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1055 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 52664832 is about 7257.0539477118. The cubic root of 52664832 is about 374.8350848186.

The spelling of 52664832 in words is "fifty-two million, six hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1039 1056 1152 1408 1536 1584 2078 2112 2304 2816 3117 3168 4156 4224 4608 5632 6234 6336 8312 8448 9351 11429 12468 12672 16624 16896 18702 22858 24936 25344 33248 34287 37404 45716 49872 50688 66496 68574 74808 91432 99744 102861 132992 137148 149616 182864 199488 205722 265984 274296 299232 365728 398976 411444 531968 548592 598464 731456 797952 822888 1097184 1196928 1462912 1595904 1645776 2194368 2393856 2925824 3291552 4388736 4787712 5851648 6583104 8777472 13166208 17554944 26332416 52664832