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2888256 = 26372307
BaseRepresentation
bin1011000001001001000000
312102201221110
423001021000
51214411011
6141523320
733356400
oct13011100
95381843
102888256
1116a2a98
12b73540
137a1837
14552800
153c0ba6
hex2c1240

2888256 has 84 divisors (see below), whose sum is σ = 8918448. Its totient is φ = 822528.

The previous prime is 2888243. The next prime is 2888269. The reversal of 2888256 is 6528882.

It is an interprime number because it is at equal distance from previous prime (2888243) and next prime (2888269).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9255 + ... + 9561.

It is an arithmetic number, because the mean of its divisors is an integer number (106172).

22888256 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 2888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459224).

2888256 is an abundant number, since it is smaller than the sum of its proper divisors (6030192).

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

2888256 is a wasteful number, since it uses less digits than its factorization.

2888256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 2888256 is about 1699.4869814153. The cubic root of 2888256 is about 142.4115548424.

The spelling of 2888256 in words is "two million, eight hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 307 336 392 448 588 614 672 784 921 1176 1228 1344 1568 1842 2149 2352 2456 3136 3684 4298 4704 4912 6447 7368 8596 9408 9824 12894 14736 15043 17192 19648 25788 29472 30086 34384 45129 51576 58944 60172 68768 90258 103152 120344 137536 180516 206304 240688 361032 412608 481376 722064 962752 1444128 2888256