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52251864 = 23373179127
BaseRepresentation
bin1100011101010…
…0110011011000
310122022200002020
43013110303120
5101334024424
65103534440
71203063540
oct307246330
9118280066
1052251864
1127549665
12155ba420
13aa96382
146d22320
1548c2079
hex31d4cd8

52251864 has 128 divisors (see below), whose sum is σ = 157286400. Its totient is φ = 14152320.

The previous prime is 52251851. The next prime is 52251869. The reversal of 52251864 is 46815225.

52251864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52251869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411369 + ... + 411495.

It is an arithmetic number, because the mean of its divisors is an integer number (1228800).

Almost surely, 252251864 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 52251864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78643200).

52251864 is an abundant number, since it is smaller than the sum of its proper divisors (105034536).

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

52251864 is a wasteful number, since it uses less digits than its factorization.

52251864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 52251864 is about 7228.5450818266. The cubic root of 52251864 is about 373.8527640672.

The spelling of 52251864 in words is "fifty-two million, two hundred fifty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 79 84 93 124 127 158 168 186 217 237 248 254 316 372 381 434 474 508 553 632 651 744 762 868 889 948 1016 1106 1302 1524 1659 1736 1778 1896 2212 2449 2604 2667 3048 3318 3556 3937 4424 4898 5208 5334 6636 7112 7347 7874 9796 10033 10668 11811 13272 14694 15748 17143 19592 20066 21336 23622 27559 29388 30099 31496 34286 40132 47244 51429 55118 58776 60198 68572 70231 80264 82677 94488 102858 110236 120396 137144 140462 165354 205716 210693 220472 240792 280924 311023 330708 411432 421386 561848 622046 661416 842772 933069 1244092 1685544 1866138 2177161 2488184 3732276 4354322 6531483 7464552 8708644 13062966 17417288 26125932 52251864