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2045648 = 241159197
BaseRepresentation
bin111110011011011010000
310211221002202
413303123100
51010430043
6111502332
723246663
oct7633320
93757082
102045648
111177a20
128279a8
13568157
143b36da
152a61b8
hex1f36d0

2045648 has 40 divisors (see below), whose sum is σ = 4419360. Its totient is φ = 909440.

The previous prime is 2045647. The next prime is 2045651. The reversal of 2045648 is 8465402.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2045648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10286 + ... + 10482.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

22045648 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 2045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209680).

2045648 is an abundant number, since it is smaller than the sum of its proper divisors (2373712).

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

2045648 is a wasteful number, since it uses less digits than its factorization.

2045648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2045648 is about 1430.2615145490. The cubic root of 2045648 is about 126.9434513782.

The spelling of 2045648 in words is "two million, forty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 197 236 394 472 649 788 944 1298 1576 2167 2596 3152 4334 5192 8668 10384 11623 17336 23246 34672 46492 92984 127853 185968 255706 511412 1022824 2045648