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2468064 = 25347547
BaseRepresentation
bin1001011010100011100000
311122101112210
421122203200
51112434224
6124522120
726656344
oct11324340
94571483
102468064
111436325
129b0340
136854c1
14483624
1533b429
hex25a8e0

2468064 has 48 divisors (see below), whose sum is σ = 6628608. Its totient is φ = 803712.

The previous prime is 2468047. The next prime is 2468069. The reversal of 2468064 is 4608642.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468069) 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, 4239 + ... + 4785.

It is an arithmetic number, because the mean of its divisors is an integer number (138096).

22468064 is an apocalyptic number.

2468064 is a gapful number since it is divisible by the number (24) 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 2468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314304).

2468064 is an abundant number, since it is smaller than the sum of its proper divisors (4160544).

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

2468064 is a wasteful number, since it uses less digits than its factorization.

2468064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2468064 is about 1571.0073201612. The cubic root of 2468064 is about 135.1404847583.

The spelling of 2468064 in words is "two million, four hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 547 564 752 1094 1128 1504 1641 2188 2256 3282 4376 4512 6564 8752 13128 17504 25709 26256 51418 52512 77127 102836 154254 205672 308508 411344 617016 822688 1234032 2468064