Search a number
-
+
5604963840 = 293257231511
BaseRepresentation
bin1010011100001010…
…01111011000000000
3112110121201122221100
411032011033120000
542434332320330
62324101454400
7255616256310
oct51605173000
915417648840
105604963840
112416946323
121105111400
136b42a4968
143b257b440
1522c105060
hex14e14f600

5604963840 has 480 divisors, whose sum is σ = 23164517376. Its totient is φ = 1224622080.

The previous prime is 5604963839. The next prime is 5604963851. The reversal of 5604963840 is 483694065.

5604963840 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3708685 + ... + 3710195.

Almost surely, 25604963840 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 5604963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

5604963840 is an abundant number, since it is smaller than the sum of its proper divisors (17559553536).

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

5604963840 is a wasteful number, since it uses less digits than its factorization.

5604963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5604963840 is about 74866.3064402138. The cubic root of 5604963840 is about 1776.3325406039.

The spelling of 5604963840 in words is "five billion, six hundred four million, nine hundred sixty-three thousand, eight hundred forty".