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2826096 = 243713647
BaseRepresentation
bin1010110001111101110000
312022120200020
422301331300
51210413341
6140323440
733010230
oct12617560
95276606
102826096
111660319
12b43580
1377c460
14537cc0
153ac566
hex2b1f70

2826096 has 80 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 744192.

The previous prime is 2826091. The next prime is 2826101. The reversal of 2826096 is 6906282.

It is an interprime number because it is at equal distance from previous prime (2826091) and next prime (2826101).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4045 + ... + 4691.

22826096 is an apocalyptic number.

2826096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

2826096 is an abundant number, since it is smaller than the sum of its proper divisors (6173328).

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

2826096 is a wasteful number, since it uses less digits than its factorization.

2826096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2826096 is about 1681.0996401166. The cubic root of 2826096 is about 141.3824934797.

The spelling of 2826096 in words is "two million, eight hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 647 728 1092 1294 1456 1941 2184 2588 3882 4368 4529 5176 7764 8411 9058 10352 13587 15528 16822 18116 25233 27174 31056 33644 36232 50466 54348 58877 67288 72464 100932 108696 117754 134576 176631 201864 217392 235508 353262 403728 471016 706524 942032 1413048 2826096