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2640648 = 233472341
BaseRepresentation
bin1010000100101100001000
311222011021210
422010230020
51134000043
6132333120
731305453
oct12045410
94864253
102640648
111543a5a
12a741a0
13715c1a
144ca49a
15372633
hex284b08

2640648 has 32 divisors (see below), whose sum is σ = 6744960. Its totient is φ = 861120.

The previous prime is 2640643. The next prime is 2640683. The reversal of 2640648 is 8460462.

It is a super-3 number, since 3×26406483 = 55239888684935333376, which contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2640643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 2298.

It is an arithmetic number, because the mean of its divisors is an integer number (210780).

22640648 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 2640648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372480).

2640648 is an abundant number, since it is smaller than the sum of its proper divisors (4104312).

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

2640648 is a wasteful number, since it uses less digits than its factorization.

2640648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2640648 is about 1625.0070769077. The cubic root of 2640648 is about 138.2197716404.

The spelling of 2640648 in words is "two million, six hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2341 4682 7023 9364 14046 18728 28092 56184 110027 220054 330081 440108 660162 880216 1320324 2640648