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2484592 = 241119743
BaseRepresentation
bin1001011110100101110000
311200020012221
421132211300
51114001332
6125130424
730055465
oct11364560
94606187
102484592
111447790
129b9a14
1368cb96
1448966c
15341297
hex25e970

2484592 has 40 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 1068480.

The previous prime is 2484589. The next prime is 2484593. The reversal of 2484592 is 2954842.

2484592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 4 + 8 + 4 + 59 + 96 + 23 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484593) 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, 2973 + ... + 3715.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

22484592 is an apocalyptic number.

2484592 is a gapful number since it is divisible by the number (22) 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 2484592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2484592 is an abundant number, since it is smaller than the sum of its proper divisors (3050768).

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

2484592 is a wasteful number, since it uses less digits than its factorization.

2484592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2484592 is about 1576.2588619894. The cubic root of 2484592 is about 135.4414810647.

The spelling of 2484592 in words is "two million, four hundred eighty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 743 836 1486 1672 2972 3344 5944 8173 11888 14117 16346 28234 32692 56468 65384 112936 130768 155287 225872 310574 621148 1242296 2484592