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2483676 = 2233132961
BaseRepresentation
bin1001011110010111011100
311200011222000
421132113130
51113434201
6125122300
730053016
oct11362734
94604860
102483676
111447028
129b9390
1368c640
144891b6
15340d86
hex25e5dc

2483676 has 96 divisors (see below), whose sum is σ = 7291200. Its totient is φ = 725760.

The previous prime is 2483671. The next prime is 2483687. The reversal of 2483676 is 6763842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 27 + 49 + 87 + 38 + 6 + 76 + 62 .

Its product of digits (48384) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 2483676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40686 + ... + 40746.

It is an arithmetic number, because the mean of its divisors is an integer number (75950).

22483676 is an apocalyptic number.

2483676 is a gapful number since it is divisible by the number (26) 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 2483676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645600).

2483676 is an abundant number, since it is smaller than the sum of its proper divisors (4807524).

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

2483676 is a wasteful number, since it uses less digits than its factorization.

2483676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2483676 is about 1575.9682737923. The cubic root of 2483676 is about 135.4248345159.

The spelling of 2483676 in words is "two million, four hundred eighty-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 61 78 87 108 116 117 122 156 174 183 234 244 261 348 351 366 377 468 522 549 702 732 754 783 793 1044 1098 1131 1404 1508 1566 1586 1647 1769 2196 2262 2379 3132 3172 3294 3393 3538 4524 4758 5307 6588 6786 7076 7137 9516 10179 10614 13572 14274 15921 20358 21228 21411 22997 28548 31842 40716 42822 45994 47763 63684 68991 85644 91988 95526 137982 191052 206973 275964 413946 620919 827892 1241838 2483676