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5288351958 = 2322378716231
BaseRepresentation
bin1001110110011010…
…11101100011010110
3111122112222010002100
410323031131203112
541312304230313
62232431422530
7245023151511
oct47315354326
914575863070
105288351958
11227415610a
121037084a46
1366380b956
143824c1d78
1520e414173
hex13b35d8d6

5288351958 has 48 divisors (see below), whose sum is σ = 11972203776. Its totient is φ = 1683894960.

The previous prime is 5288351953. The next prime is 5288351963. The reversal of 5288351958 is 8591538825.

It is a happy number.

5288351958 is a `hidden beast` number, since 5 + 288 + 351 + 9 + 5 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5288351953) and next prime (5288351963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288351953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317703 + ... + 333933.

It is an arithmetic number, because the mean of its divisors is an integer number (249420912).

Almost surely, 25288351958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5288351958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986101888).

5288351958 is an abundant number, since it is smaller than the sum of its proper divisors (6683851818).

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

5288351958 is a wasteful number, since it uses less digits than its factorization.

5288351958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049 (or 17046 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The square root of 5288351958 is about 72721.0558091671. The cubic root of 5288351958 is about 1742.2351991798.

The spelling of 5288351958 in words is "five billion, two hundred eighty-eight million, three hundred fifty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 787 1574 2361 4722 7083 14166 16231 18101 32462 36202 48693 54303 97386 108606 146079 162909 292158 325818 373313 746626 1119939 2239878 3359817 6719634 12773797 25547594 38321391 76642782 114964173 229928346 293797331 587594662 881391993 1762783986 2644175979 5288351958