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5127528 = 2337231327
BaseRepresentation
bin10011100011110101101000
3100122111122110
4103203311220
52303040103
6301522320
761404030
oct23436550
910574573
105127528
11299242a
1218733a0
1310a6b53
149768c0
156b4403
hex4e3d68

5127528 has 64 divisors (see below), whose sum is σ = 15298560. Its totient is φ = 1400256.

The previous prime is 5127527. The next prime is 5127533. The reversal of 5127528 is 8257215.

5127528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5127495 and 5127504.

It is not an unprimeable number, because it can be changed into a prime (5127527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3201 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (239040).

Almost surely, 25127528 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 5127528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649280).

5127528 is an abundant number, since it is smaller than the sum of its proper divisors (10171032).

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

5127528 is a wasteful number, since it uses less digits than its factorization.

5127528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 5127528 is about 2264.4045574941. The cubic root of 5127528 is about 172.4392056298.

The spelling of 5127528 in words is "five million, one hundred twenty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1327 1932 2654 3864 3981 5308 7962 9289 10616 15924 18578 27867 30521 31848 37156 55734 61042 74312 91563 111468 122084 183126 213647 222936 244168 366252 427294 640941 732504 854588 1281882 1709176 2563764 5127528