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5679480240 = 243457231577
BaseRepresentation
bin1010100101000010…
…11111110110110000
3112122210221111020000
411102201133312300
543112421331430
62335322550000
7260512533300
oct52241376660
915583844200
105679480240
112454a11625
121126068300
136c68650c5
143bc417600
15233923e60
hex15285fdb0

5679480240 has 600 divisors, whose sum is σ = 23727445632. Its totient is φ = 1254113280.

The previous prime is 5679480223. The next prime is 5679480283. The reversal of 5679480240 is 420849765.

It is a happy number.

5679480240 is a `hidden beast` number, since 567 + 9 + 4 + 80 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9842832 + ... + 9843408.

Almost surely, 25679480240 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 5679480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11863722816).

5679480240 is an abundant number, since it is smaller than the sum of its proper divisors (18047965392).

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

5679480240 is a wasteful number, since it uses less digits than its factorization.

5679480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5679480240 is about 75362.3263972126. The cubic root of 5679480240 is about 1784.1698562023.

The spelling of 5679480240 in words is "five billion, six hundred seventy-nine million, four hundred eighty thousand, two hundred forty".