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2468448 = 25332857
BaseRepresentation
bin1001011010101001100000
311122102002000
421122221200
51112442243
6124524000
726660433
oct11325140
94572060
102468448
111436644
129b0600
13685728
1448381a
1533b5d3
hex25aa60

2468448 has 48 divisors (see below), whose sum is σ = 7202160. Its totient is φ = 822528.

The previous prime is 2468447. The next prime is 2468449. The reversal of 2468448 is 8448642.

It is an interprime number because it is at equal distance from previous prime (2468447) and next prime (2468449).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 211 + 45 + 65 + 85 + 48 + 49 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565 + ... + 2292.

It is an arithmetic number, because the mean of its divisors is an integer number (150045).

22468448 is an apocalyptic number.

It is an amenable number.

2468448 is an abundant number, since it is smaller than the sum of its proper divisors (4733712).

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

2468448 is a wasteful number, since it uses less digits than its factorization.

2468448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2862 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2468448 is about 1571.1295299879. The cubic root of 2468448 is about 135.1474931199.

It can be divided in two parts, 2468 and 448, that added together give a square (2916 = 542).

The spelling of 2468448 in words is "two million, four hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2857 5714 8571 11428 17142 22856 25713 34284 45712 51426 68568 77139 91424 102852 137136 154278 205704 274272 308556 411408 617112 822816 1234224 2468448