Search a number
-
+
5251584 = 29313263
BaseRepresentation
bin10100000010001000000000
3100212210211010
4110002020000
52321022314
6304320520
762431512
oct24021000
910783733
105251584
112a67658
121913140
13111b460
149a9bb2
156db059
hex502200

5251584 has 80 divisors (see below), whose sum is σ = 15124032. Its totient is φ = 1609728.

The previous prime is 5251573. The next prime is 5251591. The reversal of 5251584 is 4851525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19837 + ... + 20099.

Almost surely, 25251584 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 5251584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016).

5251584 is an abundant number, since it is smaller than the sum of its proper divisors (9872448).

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

5251584 is a wasteful number, since it uses less digits than its factorization.

5251584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 5251584 is about 2291.6334785476. The cubic root of 5251584 is about 173.8188099350.

The spelling of 5251584 in words is "five million, two hundred fifty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 263 312 384 416 512 526 624 768 789 832 1052 1248 1536 1578 1664 2104 2496 3156 3328 3419 4208 4992 6312 6656 6838 8416 9984 10257 12624 13676 16832 19968 20514 25248 27352 33664 41028 50496 54704 67328 82056 100992 109408 134656 164112 201984 218816 328224 403968 437632 656448 875264 1312896 1750528 2625792 5251584