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4049136 = 2433713103
BaseRepresentation
bin1111011100100011110000
321121201101000
433130203300
52014033021
6222442000
746263030
oct17344360
97551330
104049136
1123161a3
121433300
13aba050
147758c0
1554eb26
hex3dc8f0

4049136 has 160 divisors (see below), whose sum is σ = 14443520. Its totient is φ = 1057536.

The previous prime is 4049131. The next prime is 4049153. The reversal of 4049136 is 6319404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049131) 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, 39261 + ... + 39363.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 24049136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4049136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221760).

4049136 is an abundant number, since it is smaller than the sum of its proper divisors (10394384).

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

4049136 is a wasteful number, since it uses less digits than its factorization.

4049136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4049136 is about 2012.2465057741. The cubic root of 4049136 is about 159.3874495465.

The spelling of 4049136 in words is "four million, forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 103 104 108 112 117 126 144 156 168 182 189 206 208 216 234 252 273 309 312 336 351 364 378 412 432 468 504 546 618 624 702 721 728 756 819 824 927 936 1008 1092 1236 1339 1404 1442 1456 1512 1638 1648 1854 1872 2163 2184 2457 2472 2678 2781 2808 2884 3024 3276 3708 4017 4326 4368 4914 4944 5356 5562 5616 5768 6489 6552 7416 8034 8652 9373 9828 10712 11124 11536 12051 12978 13104 14832 16068 17304 18746 19467 19656 21424 22248 24102 25956 28119 32136 34608 36153 37492 38934 39312 44496 48204 51912 56238 64272 72306 74984 77868 84357 96408 103824 112476 144612 149968 155736 168714 192816 224952 253071 289224 311472 337428 449904 506142 578448 674856 1012284 1349712 2024568 4049136