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5265288 = 2332731337
BaseRepresentation
bin10100000101011110001000
3100220111121200
4110011132020
52321442123
6304504200
762516460
oct24053610
910814550
105265288
112a76986
12191b060
131124772
149b0ba0
156e0143
hex505788

5265288 has 96 divisors (see below), whose sum is σ = 16872960. Its totient is φ = 1451520.

The previous prime is 5265287. The next prime is 5265311. The reversal of 5265288 is 8825625.

5265288 is a `hidden beast` number, since 526 + 52 + 88 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5265287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15456 + ... + 15792.

It is an arithmetic number, because the mean of its divisors is an integer number (175760).

Almost surely, 25265288 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 5265288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436480).

5265288 is an abundant number, since it is smaller than the sum of its proper divisors (11607672).

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

5265288 is a wasteful number, since it uses less digits than its factorization.

5265288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5265288 is about 2294.6215374218. The cubic root of 5265288 is about 173.9698719140.

The spelling of 5265288 in words is "five million, two hundred sixty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 337 372 434 504 558 651 674 744 868 1011 1116 1302 1348 1736 1953 2022 2232 2359 2604 2696 3033 3906 4044 4718 5208 6066 7077 7812 8088 9436 10447 12132 14154 15624 18872 20894 21231 24264 28308 31341 41788 42462 56616 62682 73129 83576 84924 94023 125364 146258 169848 188046 219387 250728 292516 376092 438774 585032 658161 752184 877548 1316322 1755096 2632644 5265288