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2535264 = 25328803
BaseRepresentation
bin1001101010111101100000
311202210201200
421222331200
51122112024
6130201200
730356304
oct11527540
94683650
102535264
111481866
12a23200
136a9c74
1449dd04
153512c9
hex26af60

2535264 has 36 divisors (see below), whose sum is σ = 7210476. Its totient is φ = 844992.

The previous prime is 2535263. The next prime is 2535271. The reversal of 2535264 is 4625352.

2535264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535263) 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 5 ways as a sum of consecutive naturals, for example, 4114 + ... + 4689.

It is an arithmetic number, because the mean of its divisors is an integer number (200291).

22535264 is an apocalyptic number.

2535264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2535264 is an abundant number, since it is smaller than the sum of its proper divisors (4675212).

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

2535264 is a wasteful number, since it uses less digits than its factorization.

2535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8808 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2535264 is about 1592.2512364574. The cubic root of 2535264 is about 136.3560451532.

The spelling of 2535264 in words is "two million, five hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8803 17606 26409 35212 52818 70424 79227 105636 140848 158454 211272 281696 316908 422544 633816 845088 1267632 2535264