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2483664 = 24359877
BaseRepresentation
bin1001011110010111010000
311200011221120
421132113100
51113434124
6125122240
730053001
oct11362720
94604846
102483664
111447017
129b9380
1368c631
144891a8
15340d79
hex25e5d0

2483664 has 40 divisors (see below), whose sum is σ = 6532320. Its totient is φ = 812928.

The previous prime is 2483659. The next prime is 2483669. The reversal of 2483664 is 4663842.

2483664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2483659) and next prime (2483669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483669) 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, 2394 + ... + 3270.

It is an arithmetic number, because the mean of its divisors is an integer number (163308).

22483664 is an apocalyptic number.

2483664 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 2483664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266160).

2483664 is an abundant number, since it is smaller than the sum of its proper divisors (4048656).

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

2483664 is a wasteful number, since it uses less digits than its factorization.

2483664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2483664 is about 1575.9644666045. The cubic root of 2483664 is about 135.4246164117.

The spelling of 2483664 in words is "two million, four hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 877 944 1416 1754 2631 2832 3508 5262 7016 10524 14032 21048 42096 51743 103486 155229 206972 310458 413944 620916 827888 1241832 2483664