Search a number
-
+
5872464 = 2432133137
BaseRepresentation
bin10110011001101101010000
3102001100111200
4112121231100
53000404324
6325511200
7100625613
oct26315520
912040450
105872464
113351084
121b72500
1312a7c40
14acc17a
157aeec9
hex599b50

5872464 has 60 divisors (see below), whose sum is σ = 17704596. Its totient is φ = 1806336.

The previous prime is 5872459. The next prime is 5872507. The reversal of 5872464 is 4642785.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 1904400 = 1992^2 + 1380^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 3440.

Almost surely, 25872464 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 5872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8852298).

5872464 is an abundant number, since it is smaller than the sum of its proper divisors (11832132).

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

5872464 is a wasteful number, since it uses less digits than its factorization.

5872464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3155 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5872464 is about 2423.3167353856. The cubic root of 5872464 is about 180.4153371981.

It can be divided in two parts, 5872 and 464, that added together give a palindrome (6336).

The spelling of 5872464 in words is "five million, eight hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3137 6274 9411 12548 18822 25096 28233 37644 40781 50192 56466 75288 81562 112932 122343 150576 163124 225864 244686 326248 367029 451728 489372 652496 734058 978744 1468116 1957488 2936232 5872464