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2861424 = 243231641
BaseRepresentation
bin1010111010100101110000
312101101010200
422322211300
51213031144
6141155200
733215226
oct12724560
95341120
102861424
111684915
12b5bb00
13792567
14546b16
153b7c69
hex2ba970

2861424 has 60 divisors (see below), whose sum is σ = 8279232. Its totient is φ = 921600.

The previous prime is 2861399. The next prime is 2861447. The reversal of 2861424 is 4241682.

2861424 is a `hidden beast` number, since 28 + 614 + 24 = 666.

2861424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4144 + ... + 4784.

22861424 is an apocalyptic number.

2861424 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 2861424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139616).

2861424 is an abundant number, since it is smaller than the sum of its proper divisors (5417808).

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

2861424 is a wasteful number, since it uses less digits than its factorization.

2861424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2861424 is about 1691.5744145618. The cubic root of 2861424 is about 141.9691793190.

It can be divided in two parts, 286142 and 4, that added together give a triangular number (286146 = T756).

The spelling of 2861424 in words is "two million, eight hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 641 744 1116 1282 1488 1923 2232 2564 3846 4464 5128 5769 7692 10256 11538 15384 19871 23076 30768 39742 46152 59613 79484 92304 119226 158968 178839 238452 317936 357678 476904 715356 953808 1430712 2861424