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5279328 = 253223797
BaseRepresentation
bin10100001000111001100000
3100221012212200
4110020321200
52322414303
6305053200
762605425
oct24107140
910835780
105279328
112a8648a
121927200
13112ac82
149b5d4c
156e43a3
hex508e60

5279328 has 72 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1681152.

The previous prime is 5279311. The next prime is 5279341. The reversal of 5279328 is 8239725.

It is a happy number.

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 = 5279292 and 5279301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6226 + ... + 7022.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 25279328 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 5279328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

5279328 is an abundant number, since it is smaller than the sum of its proper divisors (10406160).

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

5279328 is a wasteful number, since it uses less digits than its factorization.

5279328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 825 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5279328 is about 2297.6788287313. The cubic root of 5279328 is about 174.1243661023.

The spelling of 5279328 in words is "five million, two hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 797 828 1104 1594 1656 2208 2391 3188 3312 4782 6376 6624 7173 9564 12752 14346 18331 19128 25504 28692 36662 38256 54993 57384 73324 76512 109986 114768 146648 164979 219972 229536 293296 329958 439944 586592 659916 879888 1319832 1759776 2639664 5279328