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2381886 = 23513229
BaseRepresentation
bin1001000101100000111110
311111000100000
421011200332
51102210021
6123015130
726150163
oct11054076
94430300
102381886
111387601
1296a4a6
13655200
1446006a
15320b26
hex24583e

2381886 has 72 divisors (see below), whose sum is σ = 5995080. Its totient is φ = 707616.

The previous prime is 2381881. The next prime is 2381891. The reversal of 2381886 is 6881832.

It is an interprime number because it is at equal distance from previous prime (2381881) and next prime (2381891).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (18432) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2381886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82120 + ... + 82148.

It is an arithmetic number, because the mean of its divisors is an integer number (83265).

22381886 is an apocalyptic number.

2381886 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997540).

2381886 is an abundant number, since it is smaller than the sum of its proper divisors (3613194).

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

2381886 is a wasteful number, since it uses less digits than its factorization.

2381886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2381886 is about 1543.3359971179. The cubic root of 2381886 is about 133.5489026750.

The spelling of 2381886 in words is "two million, three hundred eighty-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 169 174 234 243 261 338 351 377 486 507 522 702 754 783 1014 1053 1131 1521 1566 2106 2262 2349 3042 3159 3393 4563 4698 4901 6318 6786 7047 9126 9802 10179 13689 14094 14703 20358 27378 29406 30537 41067 44109 61074 82134 88218 91611 132327 183222 264654 396981 793962 1190943 2381886