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2628912 = 2431113383
BaseRepresentation
bin1010000001110100110000
311221120012010
422001310300
51133111122
6132202520
731226316
oct12016460
94846163
102628912
111536160
12a69440
13710790
144c60b6
1536de0c
hex281d30

2628912 has 80 divisors (see below), whose sum is σ = 7999488. Its totient is φ = 733440.

The previous prime is 2628911. The next prime is 2628919. The reversal of 2628912 is 2198262.

It is a super-2 number, since 2×26289122 = 13822356607488, which contains 22 as substring.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2628912.

It is not an unprimeable number, because it can be changed into a prime (2628911) 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, 6673 + ... + 7055.

22628912 is an apocalyptic number.

2628912 is a gapful number since it is divisible by the number (22) 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 2628912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744).

2628912 is an abundant number, since it is smaller than the sum of its proper divisors (5370576).

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

2628912 is a wasteful number, since it uses less digits than its factorization.

2628912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2628912 is about 1621.3919945528. The cubic root of 2628912 is about 138.0147012273.

The spelling of 2628912 in words is "two million, six hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 383 429 528 572 624 766 858 1144 1149 1532 1716 2288 2298 3064 3432 4213 4596 4979 6128 6864 8426 9192 9958 12639 14937 16852 18384 19916 25278 29874 33704 39832 50556 54769 59748 67408 79664 101112 109538 119496 164307 202224 219076 238992 328614 438152 657228 876304 1314456 2628912