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5427828 = 22327217181
BaseRepresentation
bin10100101101001001110100
3101012202120200
4110231021310
52342142303
6312200500
764064400
oct24551164
911182520
105427828
11307800a
121999130
131180743
14a14100
157233a3
hex52d274

5427828 has 108 divisors (see below), whose sum is σ = 16992612. Its totient is φ = 1451520.

The previous prime is 5427827. The next prime is 5427833. The reversal of 5427828 is 8287245.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1695204 + 3732624 = 1302^2 + 1932^2 .

It is a super-2 number, since 2×54278282 = 58922633595168, which contains 22 as substring.

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 = 5427792 and 5427801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5427827) 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, 29898 + ... + 30078.

It is an arithmetic number, because the mean of its divisors is an integer number (157339).

Almost surely, 25427828 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 5427828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496306).

5427828 is an abundant number, since it is smaller than the sum of its proper divisors (11564784).

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

5427828 is a wasteful number, since it uses less digits than its factorization.

5427828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

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

The square root of 5427828 is about 2329.7699457243. The cubic root of 5427828 is about 175.7419168468.

The spelling of 5427828 in words is "five million, four hundred twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 181 196 204 238 252 294 306 357 362 441 476 543 588 612 714 724 833 882 1071 1086 1267 1428 1629 1666 1764 2142 2172 2499 2534 3077 3258 3332 3801 4284 4998 5068 6154 6516 7497 7602 8869 9231 9996 11403 12308 14994 15204 17738 18462 21539 22806 26607 27693 29988 35476 36924 43078 45612 53214 55386 64617 79821 86156 106428 110772 129234 150773 159642 193851 258468 301546 319284 387702 452319 603092 775404 904638 1356957 1809276 2713914 5427828