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2455264 = 25797113
BaseRepresentation
bin1001010111011011100000
311121201222201
421113123200
51112032024
6124342544
726604130
oct11273340
94551881
102455264
111427749
129a4a54
1367c726
1447cac0
15337744
hex2576e0

2455264 has 48 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 1032192.

The previous prime is 2455261. The next prime is 2455279. The reversal of 2455264 is 4625542.

2455264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455261) 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 7 ways as a sum of consecutive naturals, for example, 21672 + ... + 21784.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

22455264 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 2455264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2455264 is an abundant number, since it is smaller than the sum of its proper divisors (3175424).

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

2455264 is a wasteful number, since it uses less digits than its factorization.

2455264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 2455264 is about 1566.9282051198. The cubic root of 2455264 is about 134.9064555435.

The spelling of 2455264 in words is "two million, four hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 113 194 224 226 388 452 679 776 791 904 1358 1552 1582 1808 2716 3104 3164 3616 5432 6328 10864 10961 12656 21728 21922 25312 43844 76727 87688 153454 175376 306908 350752 613816 1227632 2455264