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3613896 = 233511132
BaseRepresentation
bin1101110010010011001000
320210121100000
431302103020
51411121041
6205243000
742501066
oct15622310
96717300
103613896
1120491a0
121263460
13996c00
146a1036
154b5bb6
hex3724c8

3613896 has 144 divisors (see below), whose sum is σ = 11990160. Its totient is φ = 1010880.

The previous prime is 3613889. The next prime is 3613931. The reversal of 3613896 is 6983163.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3613896.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 277986 + ... + 277998.

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

Almost surely, 23613896 is an apocalyptic number.

3613896 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 3613896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995080).

3613896 is an abundant number, since it is smaller than the sum of its proper divisors (8376264).

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

3613896 is a wasteful number, since it uses less digits than its factorization.

3613896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3613896 is about 1901.0249866848. The cubic root of 3613896 is about 153.4588302553.

The spelling of 3613896 in words is "three million, six hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 169 198 216 234 243 264 286 297 312 324 338 351 396 429 468 486 507 572 594 648 676 702 792 858 891 936 972 1014 1053 1144 1188 1287 1352 1404 1521 1716 1782 1859 1944 2028 2106 2376 2574 2673 2808 3042 3159 3432 3564 3718 3861 4056 4212 4563 5148 5346 5577 6084 6318 7128 7436 7722 8424 9126 10296 10692 11154 11583 12168 12636 13689 14872 15444 16731 18252 21384 22308 23166 25272 27378 30888 33462 34749 36504 41067 44616 46332 50193 54756 66924 69498 82134 92664 100386 109512 133848 138996 150579 164268 200772 277992 301158 328536 401544 451737 602316 903474 1204632 1806948 3613896