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4083696 = 243423137
BaseRepresentation
bin1111100100111111110000
321200110210000
433210333300
52021134241
6223310000
746465551
oct17447760
97613700
104083696
11233a161
12144b300
13acc9b6
14784328
15559eb6
hex3e4ff0

4083696 has 100 divisors (see below), whose sum is σ = 12423312. Its totient is φ = 1292544.

The previous prime is 4083691. The next prime is 4083697. The reversal of 4083696 is 6963804.

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

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 4083696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29740 + ... + 29876.

Almost surely, 24083696 is an apocalyptic number.

4083696 is a gapful number since it is divisible by the number (46) 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 4083696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211656).

4083696 is an abundant number, since it is smaller than the sum of its proper divisors (8339616).

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

4083696 is a wasteful number, since it uses less digits than its factorization.

4083696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4083696 is about 2020.8156768988. The cubic root of 4083696 is about 159.8396309815.

The spelling of 4083696 in words is "four million, eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 137 138 144 162 184 207 216 274 276 324 368 411 414 432 548 552 621 648 822 828 1096 1104 1233 1242 1296 1644 1656 1863 2192 2466 2484 3151 3288 3312 3699 3726 4932 4968 6302 6576 7398 7452 9453 9864 9936 11097 12604 14796 14904 18906 19728 22194 25208 28359 29592 29808 37812 44388 50416 56718 59184 75624 85077 88776 113436 151248 170154 177552 226872 255231 340308 453744 510462 680616 1020924 1361232 2041848 4083696