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2465568 = 253271223
BaseRepresentation
bin1001011001111100100000
311122021010100
421121330200
51112344233
6124502400
726646150
oct11317440
94567110
102465568
111434466
129aaa00
13684321
14482760
1533a813
hex259f20

2465568 has 72 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 703872.

The previous prime is 2465563. The next prime is 2465579. The reversal of 2465568 is 8655642.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 217 + 48 + 6 + 55 + 59 + 67 + 85 .

It is not an unprimeable number, because it can be changed into a prime (2465563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

22465568 is an apocalyptic number.

2465568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2465568 is an abundant number, since it is smaller than the sum of its proper divisors (5554080).

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

2465568 is a wasteful number, since it uses less digits than its factorization.

2465568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2465568 is about 1570.2127244421. The cubic root of 2465568 is about 135.0949126792.

The spelling of 2465568 in words is "two million, four hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1223 2016 2446 3669 4892 7338 8561 9784 11007 14676 17122 19568 22014 25683 29352 34244 39136 44028 51366 58704 68488 77049 88056 102732 117408 136976 154098 176112 205464 273952 308196 352224 410928 616392 821856 1232784 2465568