Search a number
-
+
52393728 = 283174013
BaseRepresentation
bin1100011111011…
…1011100000000
310122120212200110
43013313130000
5101403044403
65110551320
71204224252
oct307673400
9118525613
1052393728
1127636202
1215668540
13ab15b0a
146d5bcd2
1548ee103
hex31f7700

52393728 has 72 divisors (see below), whose sum is σ = 147683088. Its totient is φ = 16433152.

The previous prime is 52393721. The next prime is 52393729. The reversal of 52393728 is 82739325.

52393728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52393721) 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 7 ways as a sum of consecutive naturals, for example, 11050 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (2051154).

Almost surely, 252393728 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 52393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73841544).

52393728 is an abundant number, since it is smaller than the sum of its proper divisors (95289360).

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

52393728 is a wasteful number, since it uses less digits than its factorization.

52393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4035 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 52393728 is about 7238.3511934694. The cubic root of 52393728 is about 374.1907955355.

The spelling of 52393728 in words is "fifty-two million, three hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4013 4352 6528 8026 12039 13056 16052 24078 32104 48156 64208 68221 96312 128416 136442 192624 204663 256832 272884 385248 409326 513664 545768 770496 818652 1027328 1091536 1540992 1637304 2183072 3081984 3274608 4366144 6549216 8732288 13098432 17464576 26196864 52393728