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2982024 = 233283499
BaseRepresentation
bin1011011000000010001000
312121111120100
423120002020
51230411044
6143525400
734226643
oct13300210
95544510
102982024
111757491
12bb9860
13805416
14578a5a
153dd869
hex2d8088

2982024 has 48 divisors (see below), whose sum is σ = 8190000. Its totient is φ = 980064.

The previous prime is 2982017. The next prime is 2982059. The reversal of 2982024 is 4202892.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5727 + ... + 6225.

It is an arithmetic number, because the mean of its divisors is an integer number (170625).

22982024 is an apocalyptic number.

2982024 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 2982024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095000).

2982024 is an abundant number, since it is smaller than the sum of its proper divisors (5207976).

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

2982024 is a wasteful number, since it uses less digits than its factorization.

2982024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2982024 is about 1726.8537865147. The cubic root of 2982024 is about 143.9363144311.

The spelling of 2982024 in words is "two million, nine hundred eighty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 499 664 747 996 998 1494 1497 1992 1996 2988 2994 3992 4491 5976 5988 8982 11976 17964 35928 41417 82834 124251 165668 248502 331336 372753 497004 745506 994008 1491012 2982024