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5292640 = 255191741
BaseRepresentation
bin10100001100001001100000
3100221220010201
4110030021200
52323331030
6305234544
762662303
oct24141140
910856121
105292640
112a95491
121932a54
131134052
149bab3a
156e82ca
hex50c260

5292640 has 48 divisors (see below), whose sum is σ = 13169520. Its totient is φ = 2004480.

The previous prime is 5292613. The next prime is 5292641. The reversal of 5292640 is 462925.

It is a junction number, because it is equal to n+sod(n) for n = 5292599 and 5292608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5292641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2170 + ... + 3910.

It is an arithmetic number, because the mean of its divisors is an integer number (274365).

Almost surely, 25292640 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 5292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584760).

5292640 is an abundant number, since it is smaller than the sum of its proper divisors (7876880).

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

5292640 is a wasteful number, since it uses less digits than its factorization.

5292640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5292640 is about 2300.5738414578. The cubic root of 5292640 is about 174.2705967103.

The spelling of 5292640 in words is "five million, two hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 1741 3040 3482 6964 8705 13928 17410 27856 33079 34820 55712 66158 69640 132316 139280 165395 264632 278560 330790 529264 661580 1058528 1323160 2646320 5292640