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4893336 = 2332721973
BaseRepresentation
bin10010101010101010011000
3100012121101200
4102222222120
52223041321
6252514200
756410200
oct22525230
910177350
104893336
112842488
12177b960
131024386
14915400
15669d26
hex4aaa98

4893336 has 144 divisors (see below), whose sum is σ = 16450200. Its totient is φ = 1306368.

The previous prime is 4893313. The next prime is 4893341. The reversal of 4893336 is 6333984.

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 d-powerful number, because it can be written as 46 + 83 + 95 + 33 + 33 + 314 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 4893336.

It is a congruent number.

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, 66996 + ... + 67068.

Almost surely, 24893336 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 4893336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225100).

4893336 is an abundant number, since it is smaller than the sum of its proper divisors (11556864).

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

4893336 is a wasteful number, since it uses less digits than its factorization.

4893336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 4893336 is about 2212.0886058203. The cubic root of 4893336 is about 169.7728916590.

The spelling of 4893336 in words is "four million, eight hundred ninety-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 73 76 84 98 114 126 133 146 147 152 168 171 196 219 228 252 266 292 294 342 392 399 438 441 456 504 511 532 584 588 657 684 798 876 882 931 1022 1064 1176 1197 1314 1368 1387 1533 1596 1752 1764 1862 2044 2394 2628 2774 2793 3066 3192 3528 3577 3724 4088 4161 4599 4788 5256 5548 5586 6132 7154 7448 8322 8379 9198 9576 9709 10731 11096 11172 12264 12483 14308 16644 16758 18396 19418 21462 22344 24966 28616 29127 32193 33288 33516 36792 38836 42924 49932 58254 64386 67032 67963 77672 85848 87381 99864 116508 128772 135926 174762 203889 233016 257544 271852 349524 407778 543704 611667 699048 815556 1223334 1631112 2446668 4893336