Search a number
-
+
8049636 = 22327171879
BaseRepresentation
bin11110101101001111100100
3120010222000200
4132231033210
54030042021
6444310500
7125264220
oct36551744
916128020
108049636
1145a88a1
122842430
13188abca
1410d7780
15a90126
hex7ad3e4

8049636 has 72 divisors (see below), whose sum is σ = 24635520. Its totient is φ = 2163456.

The previous prime is 8049611. The next prime is 8049703. The reversal of 8049636 is 6369408.

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 8049636.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (342160).

Almost surely, 28049636 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 8049636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317760).

8049636 is an abundant number, since it is smaller than the sum of its proper divisors (16585884).

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

8049636 is a wasteful number, since it uses less digits than its factorization.

8049636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1908 counting only the distinct ones).

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

The square root of 8049636 is about 2837.1880445258. The cubic root of 8049636 is about 200.4127808073.

It can be divided in two parts, 804 and 9636, that added together give a triangular number (10440 = T144).

The spelling of 8049636 in words is "eight million, forty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 1879 2142 3758 4284 5637 7516 11274 13153 16911 22548 26306 31943 33822 39459 52612 63886 67644 78918 95829 118377 127772 157836 191658 223601 236754 287487 383316 447202 473508 574974 670803 894404 1149948 1341606 2012409 2683212 4024818 8049636