[go: up one dir, main page]

Search a number
-
+
5287392 = 2532111669
BaseRepresentation
bin10100001010110111100000
3100221121221100
4110022313200
52323144032
6305154400
762641065
oct24126740
910847840
105287392
112a91550
12192ba00
131131846
149b8c6c
156e697c
hex50ade0

5287392 has 72 divisors (see below), whose sum is σ = 16412760. Its totient is φ = 1601280.

The previous prime is 5287379. The next prime is 5287393. The reversal of 5287392 is 2937825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (5287393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2334 + ... + 4002.

It is an arithmetic number, because the mean of its divisors is an integer number (227955).

Almost surely, 25287392 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 5287392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206380).

5287392 is an abundant number, since it is smaller than the sum of its proper divisors (11125368).

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

5287392 is a wasteful number, since it uses less digits than its factorization.

5287392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1685 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5287392 is about 2299.4329735828. The cubic root of 5287392 is about 174.2129774160.

The spelling of 5287392 in words is "five million, two hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1669 3168 3338 5007 6676 10014 13352 15021 18359 20028 26704 30042 36718 40056 53408 55077 60084 73436 80112 110154 120168 146872 160224 165231 220308 240336 293744 330462 440616 480672 587488 660924 881232 1321848 1762464 2643696 5287392