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4485936 = 243713279
BaseRepresentation
bin10001000111001100110000
322102220112210
4101013030300
52122022221
6240052120
753062350
oct21071460
98386483
104485936
112594394
121604040
13c10b00
1484ab60
155d9276
hex447330

4485936 has 120 divisors (see below), whose sum is σ = 14522880. Its totient is φ = 1168128.

The previous prime is 4485931. The next prime is 4485937. The reversal of 4485936 is 6395844.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4485894 and 4485903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56745 + ... + 56823.

It is an arithmetic number, because the mean of its divisors is an integer number (121024).

Almost surely, 24485936 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 4485936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261440).

4485936 is an abundant number, since it is smaller than the sum of its proper divisors (10036944).

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

4485936 is a wasteful number, since it uses less digits than its factorization.

4485936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 4485936 is about 2118.0028328593. The cubic root of 4485936 is about 164.9241892321.

The spelling of 4485936 in words is "four million, four hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 79 84 91 104 112 156 158 168 169 182 208 237 273 312 316 336 338 364 474 507 546 553 624 632 676 728 948 1014 1027 1092 1106 1183 1264 1352 1456 1659 1896 2028 2054 2184 2212 2366 2704 3081 3318 3549 3792 4056 4108 4368 4424 4732 6162 6636 7098 7189 8112 8216 8848 9464 12324 13272 13351 14196 14378 16432 18928 21567 24648 26544 26702 28392 28756 40053 43134 49296 53404 56784 57512 80106 86268 93457 106808 115024 160212 172536 186914 213616 280371 320424 345072 373828 560742 640848 747656 1121484 1495312 2242968 4485936