Search a number
-
+
52736208 = 2437316183
BaseRepresentation
bin1100100100101…
…1000011010000
310200020021110220
43021023003100
5102000024313
65122153040
71210151610
oct311130320
9120207426
1052736208
112784a548
12157b2780
13ac05975
14700aa40
15496a823
hex324b0d0

52736208 has 160 divisors (see below), whose sum is σ = 165322752. Its totient is φ = 14169600.

The previous prime is 52736207. The next prime is 52736231. The reversal of 52736208 is 80263725.

It is a super-2 number, since 2×527362082 = 5562215268438528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52736207) 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, 635335 + ... + 635417.

Almost surely, 252736208 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 52736208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661376).

52736208 is an abundant number, since it is smaller than the sum of its proper divisors (112586544).

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

52736208 is a wasteful number, since it uses less digits than its factorization.

52736208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 52736208 is about 7261.9699806595. The cubic root of 52736208 is about 375.0043448385.

The spelling of 52736208 in words is "fifty-two million, seven hundred thirty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 61 62 83 84 93 112 122 124 166 168 183 186 217 244 248 249 332 336 366 372 427 434 488 496 498 581 651 664 732 744 854 868 976 996 1162 1281 1302 1328 1464 1488 1708 1736 1743 1891 1992 2324 2562 2573 2604 2928 3416 3472 3486 3782 3984 4648 5063 5124 5146 5208 5673 6832 6972 7564 7719 9296 10126 10248 10292 10416 11346 13237 13944 15128 15189 15438 18011 20252 20496 20584 22692 26474 27888 30256 30378 30876 35441 36022 39711 40504 41168 45384 52948 54033 60756 61752 70882 72044 79422 81008 90768 105896 106323 108066 121512 123504 141764 144088 156953 158844 211792 212646 216132 243024 283528 288176 313906 317688 425292 432264 470859 567056 627812 635376 850584 864528 941718 1098671 1255624 1701168 1883436 2197342 2511248 3296013 3766872 4394684 6592026 7533744 8789368 13184052 17578736 26368104 52736208