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3028896 = 253213809
BaseRepresentation
bin1011100011011110100000
312200212212100
423203132200
51233411041
6144530400
734513413
oct13433640
95625770
103028896
111789722
121020a00
13820860
1458bb7a
153ec6b6
hex2e37a0

3028896 has 72 divisors (see below), whose sum is σ = 9287460. Its totient is φ = 930816.

The previous prime is 3028891. The next prime is 3028903. The reversal of 3028896 is 6988203.

3028896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 1296 = 1740^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3028896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3028891) by changing a digit.

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, 3340 + ... + 4148.

Almost surely, 23028896 is an apocalyptic number.

3028896 is a gapful number since it is divisible by the number (36) 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 3028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643730).

3028896 is an abundant number, since it is smaller than the sum of its proper divisors (6258564).

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

3028896 is a wasteful number, since it uses less digits than its factorization.

3028896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3028896 is about 1740.3723739476. The cubic root of 3028896 is about 144.6865364720.

The spelling of 3028896 in words is "three million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 809 936 1248 1618 1872 2427 3236 3744 4854 6472 7281 9708 10517 12944 14562 19416 21034 25888 29124 31551 38832 42068 58248 63102 77664 84136 94653 116496 126204 168272 189306 232992 252408 336544 378612 504816 757224 1009632 1514448 3028896