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2798064 = 243417127
BaseRepresentation
bin1010101011000111110000
312021011020000
422223013300
51204014224
6135550000
732532423
oct12530760
95234200
102798064
111641255
12b2b300
1376c779
1452b9ba
153a40c9
hex2ab1f0

2798064 has 100 divisors (see below), whose sum is σ = 8642304. Its totient is φ = 870912.

The previous prime is 2798023. The next prime is 2798069. The reversal of 2798064 is 4608972.

2798064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798069) 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 19 ways as a sum of consecutive naturals, for example, 21969 + ... + 22095.

22798064 is an apocalyptic number.

2798064 is a gapful number since it is divisible by the number (24) 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 2798064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321152).

2798064 is an abundant number, since it is smaller than the sum of its proper divisors (5844240).

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

2798064 is a wasteful number, since it uses less digits than its factorization.

2798064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2798064 is about 1672.7414623904. The cubic root of 2798064 is about 140.9134824602.

The spelling of 2798064 in words is "two million, seven hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 127 136 144 153 162 204 216 254 272 306 324 381 408 432 459 508 612 648 762 816 918 1016 1143 1224 1296 1377 1524 1836 2032 2159 2286 2448 2754 3048 3429 3672 4318 4572 5508 6096 6477 6858 7344 8636 9144 10287 11016 12954 13716 17272 18288 19431 20574 22032 25908 27432 34544 38862 41148 51816 54864 58293 77724 82296 103632 116586 155448 164592 174879 233172 310896 349758 466344 699516 932688 1399032 2798064