Search a number
-
+
52884864 = 2732291583
BaseRepresentation
bin1100100110111…
…1010110000000
310200111211101200
43021233112000
5102014303424
65125301200
71211341164
oct311572600
9120454350
1052884864
11279411aa
1215864800
13ac58526
147048ca4
1549998c9
hex326f580

52884864 has 96 divisors (see below), whose sum is σ = 157528800. Its totient is φ = 17009664.

The previous prime is 52884833. The next prime is 52884869. The reversal of 52884864 is 46848825.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52884869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32617 + ... + 34199.

It is an arithmetic number, because the mean of its divisors is an integer number (1640925).

Almost surely, 252884864 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 52884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78764400).

52884864 is an abundant number, since it is smaller than the sum of its proper divisors (104643936).

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

52884864 is a wasteful number, since it uses less digits than its factorization.

52884864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1617 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 52884864 is about 7272.1980171060. The cubic root of 52884864 is about 375.3563758827.

The spelling of 52884864 in words is "fifty-two million, eight hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1583 1856 2088 2784 3166 3712 4176 4749 5568 6332 8352 9498 11136 12664 14247 16704 18996 25328 28494 33408 37992 45907 50656 56988 75984 91814 101312 113976 137721 151968 183628 202624 227952 275442 303936 367256 413163 455904 550884 607872 734512 826326 911808 1101768 1469024 1652652 1823616 2203536 2938048 3305304 4407072 5876096 6610608 8814144 13221216 17628288 26442432 52884864