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3873636 = 2233133189
BaseRepresentation
bin1110110001101101100100
321021210122000
432301231210
51442424021
6215005300
744632254
oct16615544
97253560
103873636
112206358
121369830
13a581c0
1472b964
15517b26
hex3b1b64

3873636 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1140480.

The previous prime is 3873631. The next prime is 3873647. The reversal of 3873636 is 6363783.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3873636.

It is not an unprimeable number, because it can be changed into a prime (3873631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43480 + ... + 43568.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 23873636 is an apocalyptic number.

3873636 is a gapful number since it is divisible by the number (36) 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 3873636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3873636 is an abundant number, since it is smaller than the sum of its proper divisors (7415964).

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

3873636 is a wasteful number, since it uses less digits than its factorization.

3873636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3873636 is about 1968.1554816630. The cubic root of 3873636 is about 157.0506010236.

The spelling of 3873636 in words is "three million, eight hundred seventy-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 89 93 108 117 124 156 178 186 234 267 279 351 356 372 403 468 534 558 702 801 806 837 1068 1116 1157 1209 1404 1602 1612 1674 2314 2403 2418 2759 3204 3348 3471 3627 4628 4806 4836 5518 6942 7254 8277 9612 10413 10881 11036 13884 14508 16554 20826 21762 24831 31239 33108 35867 41652 43524 49662 62478 71734 74493 99324 107601 124956 143468 148986 215202 297972 322803 430404 645606 968409 1291212 1936818 3873636