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52640364 = 223717191193
BaseRepresentation
bin1100100011001…
…1101001101100
310200001102000010
43020303221230
5101433442424
65120133220
71206302310
oct310635154
9120042003
1052640364
1127794537
1215767210
13aba115a
146dc3b40
15494c229
hex3233a6c

52640364 has 96 divisors (see below), whose sum is σ = 150183936. Its totient is φ = 14008320.

The previous prime is 52640363. The next prime is 52640389. The reversal of 52640364 is 46304625.

52640364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52640363) 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, 272652 + ... + 272844.

It is an arithmetic number, because the mean of its divisors is an integer number (1564416).

Almost surely, 252640364 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 52640364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75091968).

52640364 is an abundant number, since it is smaller than the sum of its proper divisors (97543572).

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

52640364 is a wasteful number, since it uses less digits than its factorization.

52640364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 52640364 is about 7255.3679438055. The cubic root of 52640364 is about 374.7770265583. Note that the first 3 decimals are identical.

Adding to 52640364 its reverse (46304625), we get a palindrome (98944989).

The spelling of 52640364 in words is "fifty-two million, six hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 191 193 204 238 357 382 386 476 573 579 714 764 772 1146 1158 1337 1351 1428 2292 2316 2674 2702 3247 3281 4011 4053 5348 5404 6494 6562 8022 8106 9741 9843 12988 13124 16044 16212 19482 19686 22729 22967 36863 38964 39372 45458 45934 68187 68901 73726 90916 91868 110589 136374 137802 147452 221178 258041 272748 275604 442356 516082 626671 774123 1032164 1253342 1548246 1880013 2506684 3096492 3760026 4386697 7520052 8773394 13160091 17546788 26320182 52640364