Search a number
-
+
2869056 = 263217293
BaseRepresentation
bin1010111100011101000000
312101202121100
422330131000
51213302211
6141254400
733246411
oct12743500
95352540
102869056
11168a623
12b64400
13795b88
14549808
153ba156
hex2bc740

2869056 has 84 divisors (see below), whose sum is σ = 8737092. Its totient is φ = 897024.

The previous prime is 2869051. The next prime is 2869063. The reversal of 2869056 is 6509682.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 360000 = 1584^2 + 600^2 .

It is a super-2 number, since 2×28690562 = 16462964662272, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2869056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2869051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9646 + ... + 9938.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

22869056 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 2869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368546).

2869056 is an abundant number, since it is smaller than the sum of its proper divisors (5868036).

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

2869056 is a wasteful number, since it uses less digits than its factorization.

2869056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2869056 is about 1693.8287989050. The cubic root of 2869056 is about 142.0952874955.

The spelling of 2869056 in words is "two million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 293 306 408 544 576 586 612 816 879 1088 1172 1224 1632 1758 2344 2448 2637 3264 3516 4688 4896 4981 5274 7032 9376 9792 9962 10548 14064 14943 18752 19924 21096 28128 29886 39848 42192 44829 56256 59772 79696 84384 89658 119544 159392 168768 179316 239088 318784 358632 478176 717264 956352 1434528 2869056