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5274828 = 2233132172
BaseRepresentation
bin10100000111110011001100
3100220222201000
4110013303030
52322243303
6305020300
762556336
oct24076314
910828630
105274828
112a83069
121924690
131128c00
149b4456
156e2da3
hex507ccc

5274828 has 108 divisors (see below), whose sum is σ = 15730680. Its totient is φ = 1527552.

The previous prime is 5274827. The next prime is 5274833. The reversal of 5274828 is 8284725.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

Its product of digits (35840) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 5274792 and 5274801.

It is not an unprimeable number, because it can be changed into a prime (5274827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310276 + ... + 310292.

Almost surely, 25274828 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 5274828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865340).

5274828 is an abundant number, since it is smaller than the sum of its proper divisors (10455852).

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

5274828 is a wasteful number, since it uses less digits than its factorization.

5274828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5274828 is about 2296.6993708363. The cubic root of 5274828 is about 174.0748785928.

The spelling of 5274828 in words is "five million, two hundred seventy-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 169 204 221 234 289 306 338 351 442 459 468 507 578 612 663 676 702 867 884 918 1014 1156 1326 1404 1521 1734 1836 1989 2028 2601 2652 2873 3042 3468 3757 3978 4563 5202 5746 5967 6084 7514 7803 7956 8619 9126 10404 11271 11492 11934 15028 15606 17238 18252 22542 23868 25857 31212 33813 34476 45084 48841 51714 67626 77571 97682 101439 103428 135252 146523 155142 195364 202878 293046 310284 405756 439569 586092 879138 1318707 1758276 2637414 5274828