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5296400 = 245213241
BaseRepresentation
bin10100001101000100010000
3100222002021222
4110031010100
52323441100
6305304212
763006254
oct24150420
910862258
105296400
112a9829a
121935068
131135985
149bc264
156e9485
hex50d110

5296400 has 30 divisors (see below), whose sum is σ = 12725562. Its totient is φ = 2118400.

The previous prime is 5296399. The next prime is 5296409. The reversal of 5296400 is 46925.

5296400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1731856 + 3564544 = 1316^2 + 1888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5296400.

It is not an unprimeable number, because it can be changed into a prime (5296409) 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 5 ways as a sum of consecutive naturals, for example, 6221 + ... + 7020.

Almost surely, 25296400 is an apocalyptic number.

5296400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5296400 is an abundant number, since it is smaller than the sum of its proper divisors (7429162).

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

5296400 is a wasteful number, since it uses less digits than its factorization.

5296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5296400 is about 2301.3908837918. The cubic root of 5296400 is about 174.3118554101.

It can be divided in two parts, 529 and 6400, that multiplied together give a square (3385600 = 18402).

The spelling of 5296400 in words is "five million, two hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 13241 26482 52964 66205 105928 132410 211856 264820 331025 529640 662050 1059280 1324100 2648200 5296400