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5389128 = 233229289
BaseRepresentation
bin10100100011101101001000
3101010210111100
4110203231020
52334423003
6311301400
763543513
oct24435510
911123440
105389128
113050a28
12197a860
131168c44
14a03d7a
15716ba3
hex523b48

5389128 has 72 divisors (see below), whose sum is σ = 15286050. Its totient is φ = 1714944.

The previous prime is 5389121. The next prime is 5389159. The reversal of 5389128 is 8219835.

It can be written as a sum of positive squares in 3 ways, for example, as 3992004 + 1397124 = 1998^2 + 1182^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5389092 and 5389101.

It is not an unprimeable number, because it can be changed into a prime (5389121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60508 + ... + 60596.

Almost surely, 25389128 is an apocalyptic number.

5389128 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 5389128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643025).

5389128 is an abundant number, since it is smaller than the sum of its proper divisors (9896922).

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

5389128 is a wasteful number, since it uses less digits than its factorization.

5389128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5389128 is about 2321.4495471580. The cubic root of 5389128 is about 175.3232447398.

The spelling of 5389128 in words is "five million, three hundred eighty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 89 116 174 178 232 261 267 348 356 522 534 696 712 801 841 1044 1068 1602 1682 2088 2136 2523 2581 3204 3364 5046 5162 6408 6728 7569 7743 10092 10324 15138 15486 20184 20648 23229 30276 30972 46458 60552 61944 74849 92916 149698 185832 224547 299396 449094 598792 673641 898188 1347282 1796376 2694564 5389128