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5232864 = 253713599
BaseRepresentation
bin10011111101100011100000
3100211212010210
4103331203200
52314422424
6304054120
762323110
oct23754340
910755123
105232864
112a5458a
121904340
131112a90
149a3040
156d5729
hex4fd8e0

5232864 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1377792.

The previous prime is 5232863. The next prime is 5232869. The reversal of 5232864 is 4682325.

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 (5232863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8437 + ... + 9035.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25232864 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 5232864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5232864 is an abundant number, since it is smaller than the sum of its proper divisors (11701536).

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

5232864 is a wasteful number, since it uses less digits than its factorization.

5232864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 5232864 is about 2287.5454093854. The cubic root of 5232864 is about 173.6120302847.

The spelling of 5232864 in words is "five million, two hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 599 624 672 728 1092 1198 1248 1456 1797 2184 2396 2912 3594 4193 4368 4792 7188 7787 8386 8736 9584 12579 14376 15574 16772 19168 23361 25158 28752 31148 33544 46722 50316 54509 57504 62296 67088 93444 100632 109018 124592 134176 163527 186888 201264 218036 249184 327054 373776 402528 436072 654108 747552 872144 1308216 1744288 2616432 5232864