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5292072 = 2332312371
BaseRepresentation
bin10100001100000000101000
3100221212100200
4110030000220
52323321242
6305232200
762660532
oct24140050
910855320
105292072
112a95015
121932660
131133a06
149ba852
156e804c
hex50c028

5292072 has 48 divisors (see below), whose sum is σ = 14801280. Its totient is φ = 1706400.

The previous prime is 5292071. The next prime is 5292107. The reversal of 5292072 is 2702925.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5292071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047 + ... + 3417.

It is an arithmetic number, because the mean of its divisors is an integer number (308360).

Almost surely, 25292072 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 5292072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400640).

5292072 is an abundant number, since it is smaller than the sum of its proper divisors (9509208).

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

5292072 is a wasteful number, since it uses less digits than its factorization.

5292072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5292072 is about 2300.4503906844. The cubic root of 5292072 is about 174.2643623143.

Adding to 5292072 its reverse (2702925), we get a palindrome (7994997).

It can be divided in two parts, 529 and 2072, that added together give a square (2601 = 512).

The spelling of 5292072 in words is "five million, two hundred ninety-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2371 4742 7113 9484 14226 18968 21339 28452 42678 56904 73501 85356 147002 170712 220503 294004 441006 588008 661509 882012 1323018 1764024 2646036 5292072