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52072768 = 26111719229
BaseRepresentation
bin1100011010100…
…1000101000000
310121222120102001
43012221011000
5101312312033
65100033344
71201416436
oct306510500
9117876361
1052072768
1127437050
1215532854
13aa329b7
146cb6d56
154888e7d
hex31a9140

52072768 has 112 divisors (see below), whose sum is σ = 126187200. Its totient is φ = 21012480.

The previous prime is 52072763. The next prime is 52072781. The reversal of 52072768 is 86727025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52072763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227278 + ... + 227506.

Almost surely, 252072768 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 52072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63093600).

52072768 is an abundant number, since it is smaller than the sum of its proper divisors (74114432).

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

52072768 is a wasteful number, since it uses less digits than its factorization.

52072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 52072768 is about 7216.1463399795. The cubic root of 52072768 is about 373.4251418201.

The spelling of 52072768 in words is "fifty-two million, seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 64 68 76 88 136 152 176 187 209 229 272 304 323 352 374 418 458 544 608 646 704 748 836 916 1088 1216 1292 1496 1672 1832 2519 2584 2992 3344 3553 3664 3893 4351 5038 5168 5984 6688 7106 7328 7786 8702 10076 10336 11968 13376 14212 14656 15572 17404 20152 20672 28424 31144 34808 40304 42823 47861 56848 62288 69616 73967 80608 85646 95722 113696 124576 139232 147934 161216 171292 191444 227392 249152 278464 295868 342584 382888 591736 685168 765776 813637 1183472 1370336 1531552 1627274 2366944 2740672 3063104 3254548 4733888 6509096 13018192 26036384 52072768