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5679987328 = 272912372
BaseRepresentation
bin1010100101000110…
…11011101010000000
3112122211220020211001
411102203123222000
543113034043303
62335341501344
7260520044551
oct52243335200
915584806731
105679987328
112455228604
121126271854
136c69b1b62
143bc50a328
152339c431d
hex1528dba80

5679987328 has 48 divisors (see below), whose sum is σ = 11715263550. Its totient is φ = 2739846144.

The previous prime is 5679987323. The next prime is 5679987353. The reversal of 5679987328 is 8237899765.

It can be written as a sum of positive squares in 3 ways, for example, as 5608212544 + 71774784 = 74888^2 + 8472^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5679987328.

It is not an unprimeable number, because it can be changed into a prime (5679987323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4591126 + ... + 4592362.

Almost surely, 25679987328 is an apocalyptic number.

5679987328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5679987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857631775).

5679987328 is an abundant number, since it is smaller than the sum of its proper divisors (6035276222).

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

5679987328 is an frugal number, since it uses more digits than its factorization.

5679987328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 1268 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

The square root of 5679987328 is about 75365.6906556292. The cubic root of 5679987328 is about 1784.2229540305. Note that the first 3 decimals are identical.

The spelling of 5679987328 in words is "five billion, six hundred seventy-nine million, nine hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1237 1856 2474 3712 4948 9896 19792 35873 39584 71746 79168 143492 158336 286984 573968 1147936 1530169 2295872 3060338 4591744 6120676 12241352 24482704 44374901 48965408 88749802 97930816 177499604 195861632 354999208 709998416 1419996832 2839993664 5679987328