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52704756 = 2235134397
BaseRepresentation
bin1100100100001…
…1010111110100
310200011200100000
43021003113310
5101443023011
65121351300
71206661116
oct311032764
9120150300
1052704756
1127828955
1215798530
13abc4560
146ddd3b6
154961356
hex32435f4

52704756 has 144 divisors (see below), whose sum is σ = 153817664. Its totient is φ = 15676416.

The previous prime is 52704739. The next prime is 52704767. The reversal of 52704756 is 65740725.

52704756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52704756.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 543300 + ... + 543396.

Almost surely, 252704756 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 52704756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76908832).

52704756 is an abundant number, since it is smaller than the sum of its proper divisors (101112908).

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

52704756 is a wasteful number, since it uses less digits than its factorization.

52704756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 52704756 is about 7259.8041295892. The cubic root of 52704756 is about 374.9297788515.

The spelling of 52704756 in words is "fifty-two million, seven hundred four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 81 86 97 108 117 129 156 162 172 194 234 243 258 291 324 351 387 388 468 486 516 559 582 702 774 873 972 1053 1118 1161 1164 1261 1404 1548 1677 1746 2106 2236 2322 2522 2619 3159 3354 3483 3492 3783 4171 4212 4644 5031 5044 5238 6318 6708 6966 7566 7857 8342 10062 10449 10476 11349 12513 12636 13932 15093 15132 15714 16684 20124 20898 22698 23571 25026 30186 31428 34047 37539 41796 45279 45396 47142 50052 54223 60372 68094 75078 90558 94284 102141 108446 112617 135837 136188 150156 162669 181116 204282 216892 225234 271674 306423 325338 337851 408564 450468 488007 543348 612846 650676 675702 976014 1013553 1225692 1351404 1464021 1952028 2027106 2928042 4054212 4392063 5856084 8784126 13176189 17568252 26352378 52704756