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264264500 = 22537272
BaseRepresentation
bin11111100000001…
…01101100110100
3200102021000202002
433300011230310
51020122431000
642120034432
76356132303
oct1760055464
9612230662
10264264500
11126196915
1274602a18
1342998336
142715043a
15183008d5
hexfc05b34

264264500 has 36 divisors (see below), whose sum is σ = 577948644. Its totient is φ = 105560400.

The previous prime is 264264499. The next prime is 264264523. The reversal of 264264500 is 5462462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

264264500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8456464 + 255808036 = 2908^2 + 15994^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363137 + ... + 363863.

It is an arithmetic number, because the mean of its divisors is an integer number (16054129).

Almost surely, 2264264500 is an apocalyptic number.

264264500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288974322).

264264500 is an abundant number, since it is smaller than the sum of its proper divisors (313684144).

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

264264500 is an frugal number, since it uses more digits than its factorization.

264264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 264264500 is about 16256.2141964235. The cubic root of 264264500 is about 641.7210351039.

Multiplying 264264500 by its product of nonzero digits (11520), we get a square (3044327040000 = 17448002).

The spelling of 264264500 in words is "two hundred sixty-four million, two hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 727 1454 2908 3635 7270 14540 18175 36350 72700 90875 181750 363500 528529 1057058 2114116 2642645 5285290 10570580 13213225 26426450 52852900 66066125 132132250 264264500