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52254288 = 2433294397
BaseRepresentation
bin1100011101010…
…1011001010000
310122022210102000
43013111121100
5101334114123
65103554000
71203103602
oct307253120
9118283360
1052254288
1127550469
12155bb900
13aa974c8
146d23172
1548c2b43
hex31d5650

52254288 has 160 divisors (see below), whose sum is σ = 160406400. Its totient is φ = 16257024.

The previous prime is 52254263. The next prime is 52254289. The reversal of 52254288 is 88245225.

52254288 is a `hidden beast` number, since 5 + 225 + 428 + 8 = 666.

It is a super-2 number, since 2×522542882 = 5461021228773888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52254289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538656 + ... + 538752.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 252254288 is an apocalyptic number.

52254288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52254288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80203200).

52254288 is an abundant number, since it is smaller than the sum of its proper divisors (108152112).

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

52254288 is a wasteful number, since it uses less digits than its factorization.

52254288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 52254288 is about 7228.7127484774. The cubic root of 52254288 is about 373.8585450737.

The spelling of 52254288 in words is "fifty-two million, two hundred fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 43 48 54 58 72 86 87 97 108 116 129 144 172 174 194 216 232 258 261 291 344 348 387 388 432 464 516 522 582 688 696 774 776 783 873 1032 1044 1161 1164 1247 1392 1548 1552 1566 1746 2064 2088 2322 2328 2494 2619 2813 3096 3132 3492 3741 4171 4176 4644 4656 4988 5238 5626 6192 6264 6984 7482 8342 8439 9288 9976 10476 11223 11252 12513 12528 13968 14964 16684 16878 18576 19952 20952 22446 22504 25026 25317 29928 33368 33669 33756 37539 41904 44892 45008 50052 50634 59856 66736 67338 67512 75078 75951 89784 100104 101268 112617 120959 134676 135024 150156 151902 179568 200208 202536 225234 241918 269352 300312 303804 362877 405072 450468 483836 538704 600624 607608 725754 900936 967672 1088631 1215216 1451508 1801872 1935344 2177262 2903016 3265893 4354524 5806032 6531786 8709048 13063572 17418096 26127144 52254288