Search a number
-
+
52802568 = 23327138059
BaseRepresentation
bin1100100101101…
…1010000001000
310200100122111200
43021123100020
5102004140233
65123424200
71210546230
oct311332010
9120318450
1052802568
1127895395
1215825060
13ac29c30
147026cc0
154980313
hex325b408

52802568 has 96 divisors (see below), whose sum is σ = 176030400. Its totient is φ = 13924224.

The previous prime is 52802567. The next prime is 52802569. The reversal of 52802568 is 86520825.

It is an interprime number because it is at equal distance from previous prime (52802567) and next prime (52802569).

It is a super-2 number, since 2×528025682 = 5576222374789248, which contains 22 as substring.

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 (52802567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2523 + ... + 10581.

It is an arithmetic number, because the mean of its divisors is an integer number (1833650).

Almost surely, 252802568 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 52802568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015200).

52802568 is an abundant number, since it is smaller than the sum of its proper divisors (123227832).

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

52802568 is a wasteful number, since it uses less digits than its factorization.

52802568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8091 (or 8084 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52802568 is about 7266.5375523698. The cubic root of 52802568 is about 375.1615730411.

The spelling of 52802568 in words is "fifty-two million, eight hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 8059 16118 24177 32236 48354 56413 64472 72531 96708 104767 112826 145062 169239 193416 209534 225652 290124 314301 338478 419068 451304 507717 580248 628602 676956 733369 838136 942903 1015434 1257204 1353912 1466738 1885806 2030868 2200107 2514408 2933476 3771612 4061736 4400214 5866952 6600321 7543224 8800428 13200642 17600856 26401284 52802568