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52188096 = 2631759271
BaseRepresentation
bin1100011100010…
…1001111000000
310122012102121110
43013011033000
5101330004341
65102323320
71202406612
oct307051700
9118172543
1052188096
1127505764
1215589540
13aa7333c
146d06db2
1548ad216
hex31c53c0

52188096 has 112 divisors (see below), whose sum is σ = 149230080. Its totient is φ = 16035840.

The previous prime is 52188091. The next prime is 52188119. The reversal of 52188096 is 69088125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52188091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192441 + ... + 192711.

Almost surely, 252188096 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 52188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615040).

52188096 is an abundant number, since it is smaller than the sum of its proper divisors (97041984).

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

52188096 is a wasteful number, since it uses less digits than its factorization.

52188096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 52188096 is about 7224.1328891432. The cubic root of 52188096 is about 373.7006192706.

The spelling of 52188096 in words is "fifty-two million, one hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 136 177 192 204 236 271 272 354 408 472 542 544 708 813 816 944 1003 1084 1088 1416 1626 1632 1888 2006 2168 2832 3009 3252 3264 3776 4012 4336 4607 5664 6018 6504 8024 8672 9214 11328 12036 13008 13821 15989 16048 17344 18428 24072 26016 27642 31978 32096 36856 47967 48144 52032 55284 63956 64192 73712 95934 96288 110568 127912 147424 191868 192576 221136 255824 271813 294848 383736 442272 511648 543626 767472 815439 884544 1023296 1087252 1534944 1630878 2174504 3069888 3261756 4349008 6523512 8698016 13047024 17396032 26094048 52188096