Search a number
-
+
52608816 = 243213157179
BaseRepresentation
bin1100100010101…
…1111100110000
310122222210201200
43020223330300
5101431440231
65115331200
71206111321
oct310537460
9118883650
1052608816
1127772867
1215750b00
13ab8c9a0
146db6448
154942be6
hex322bf30

52608816 has 120 divisors (see below), whose sum is σ = 160458480. Its totient is φ = 15994368.

The previous prime is 52608769. The next prime is 52608817. The reversal of 52608816 is 61880625.

It is a happy number.

52608816 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 not an unprimeable number, because it can be changed into a prime (52608817) 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 23 ways as a sum of consecutive naturals, for example, 293815 + ... + 293993.

It is an arithmetic number, because the mean of its divisors is an integer number (1337154).

Almost surely, 252608816 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 52608816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80229240).

52608816 is an abundant number, since it is smaller than the sum of its proper divisors (107849664).

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

52608816 is a wasteful number, since it uses less digits than its factorization.

52608816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 52608816 is about 7253.1935035541. The cubic root of 52608816 is about 374.7021421445.

The spelling of 52608816 in words is "fifty-two million, six hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 157 179 208 234 312 314 358 468 471 537 624 628 716 936 942 1074 1256 1413 1432 1611 1872 1884 2041 2148 2327 2512 2826 2864 3222 3768 4082 4296 4654 5652 6123 6444 6981 7536 8164 8592 9308 11304 12246 12888 13962 16328 18369 18616 20943 22608 24492 25776 27924 28103 32656 36738 37232 41886 48984 55848 56206 73476 83772 84309 97968 111696 112412 146952 167544 168618 224824 252927 293904 335088 337236 365339 449648 505854 674472 730678 1011708 1096017 1348944 1461356 2023416 2192034 2922712 3288051 4046832 4384068 5845424 6576102 8768136 13152204 17536272 26304408 52608816