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5266512 = 243373167
BaseRepresentation
bin10100000101110001010000
3100220120022000
4110011301100
52322012022
6304514000
762523156
oct24056120
910816260
105266512
112a77899
12191b900
1311251a4
149b13d6
156e06ac
hex505c50

5266512 has 80 divisors (see below), whose sum is σ = 15415680. Its totient is φ = 1721088.

The previous prime is 5266507. The next prime is 5266519. The reversal of 5266512 is 2156625.

5266512 is a `hidden beast` number, since 5 + 2 + 6 + 651 + 2 = 666.

It is a super-2 number, since 2×52665122 = 55472297292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5266519) 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, 31453 + ... + 31619.

It is an arithmetic number, because the mean of its divisors is an integer number (192696).

Almost surely, 25266512 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 5266512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707840).

5266512 is an abundant number, since it is smaller than the sum of its proper divisors (10149168).

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

5266512 is a wasteful number, since it uses less digits than its factorization.

5266512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5266512 is about 2294.8882325726. Note that the first 3 decimals coincide. The cubic root of 5266512 is about 173.9833515581.

It can be divided in two parts, 5266 and 512, that added together give a triangular number (5778 = T107).

The spelling of 5266512 in words is "five million, two hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 167 216 219 292 334 432 438 501 584 657 668 876 1002 1168 1314 1336 1503 1752 1971 2004 2628 2672 3006 3504 3942 4008 4509 5256 6012 7884 8016 9018 10512 12024 12191 15768 18036 24048 24382 31536 36072 36573 48764 72144 73146 97528 109719 146292 195056 219438 292584 329157 438876 585168 658314 877752 1316628 1755504 2633256 5266512