Search a number
-
+
5608763424 = 25321147139271
BaseRepresentation
bin1010011100100111…
…01111000000100000
3112110212212200222200
411032103233000200
542441320412144
62324315133200
7255663462645
oct51623570040
915425780880
105608763424
112419000a80
121106444200
136b5005234
143b2c89dcc
1522c605c69
hex14e4ef020

5608763424 has 288 divisors, whose sum is σ = 17964011520. Its totient is φ = 1645401600.

The previous prime is 5608763393. The next prime is 5608763431. The reversal of 5608763424 is 4243678065.

5608763424 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 7 + 634 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 5608763424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20696409 + ... + 20696679.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 25608763424 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 5608763424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982005760).

5608763424 is an abundant number, since it is smaller than the sum of its proper divisors (12355248096).

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

5608763424 is a wasteful number, since it uses less digits than its factorization.

5608763424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5608763424 is about 74891.6779355357. The cubic root of 5608763424 is about 1776.7338396639.

The spelling of 5608763424 in words is "five billion, six hundred eight million, seven hundred sixty-three thousand, four hundred twenty-four".