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5259264 = 2143107
BaseRepresentation
bin10100000100000000000000
3100220012100120
4110010000000
52321244024
6304420240
762463063
oct24040000
910805316
105259264
112a723aa
121917680
131121aba
149ac8da
156dd479
hex504000

5259264 has 60 divisors (see below), whose sum is σ = 14155344. Its totient is φ = 1736704.

The previous prime is 5259263. The next prime is 5259269. The reversal of 5259264 is 4629525.

It is not an unprimeable number, because it can be changed into a prime (5259263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49099 + ... + 49205.

Almost surely, 25259264 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 5259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077672).

5259264 is an abundant number, since it is smaller than the sum of its proper divisors (8896080).

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

5259264 is an equidigital number, since it uses as much as digits as its factorization.

5259264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 5259264 is about 2293.3085269976. The cubic root of 5259264 is about 173.9035004619.

The spelling of 5259264 in words is "five million, two hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2048 2568 3072 3424 4096 5136 6144 6848 8192 10272 12288 13696 16384 20544 24576 27392 41088 49152 54784 82176 109568 164352 219136 328704 438272 657408 876544 1314816 1753088 2629632 5259264