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2878272 = 263219263
BaseRepresentation
bin1010111110101101000000
312102020020200
422332231000
51214101042
6141405200
733315315
oct12765500
95366220
102878272
111696541
12b69800
1379a127
1454cd0c
153bcc4c
hex2beb40

2878272 has 84 divisors (see below), whose sum is σ = 8717280. Its totient is φ = 905472.

The previous prime is 2878247. The next prime is 2878297. The reversal of 2878272 is 2728782.

2878272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2878247) and next prime (2878297).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10813 + ... + 11075.

22878272 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 2878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358640).

2878272 is an abundant number, since it is smaller than the sum of its proper divisors (5839008).

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

2878272 is a wasteful number, since it uses less digits than its factorization.

2878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2878272 is about 1696.5470815748. The cubic root of 2878272 is about 142.2472713402.

The spelling of 2878272 in words is "two million, eight hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 263 288 304 342 456 526 576 608 684 789 912 1052 1216 1368 1578 1824 2104 2367 2736 3156 3648 4208 4734 4997 5472 6312 8416 9468 9994 10944 12624 14991 16832 18936 19988 25248 29982 37872 39976 44973 50496 59964 75744 79952 89946 119928 151488 159904 179892 239856 319808 359784 479712 719568 959424 1439136 2878272