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2545648 = 247217191
BaseRepresentation
bin1001101101011111110000
311210022222021
421231133300
51122430043
6130321224
730431500
oct11553760
94708867
102545648
111489646
12a29214
136b1901
144a3a00
153543ed
hex26d7f0

2545648 has 60 divisors (see below), whose sum is σ = 6106752. Its totient is φ = 1021440.

The previous prime is 2545633. The next prime is 2545651. The reversal of 2545648 is 8465452.

2545648 is digitally balanced in base 5, 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 (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13233 + ... + 13423.

22545648 is an apocalyptic number.

2545648 is a gapful number since it is divisible by the number (28) 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 2545648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376).

2545648 is an abundant number, since it is smaller than the sum of its proper divisors (3561104).

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

2545648 is a wasteful number, since it uses less digits than its factorization.

2545648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 2545648 is about 1595.5086963097. The cubic root of 2545648 is about 136.5419551067.

The spelling of 2545648 in words is "two million, five hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 191 196 238 272 382 392 476 764 784 833 952 1337 1528 1666 1904 2674 3056 3247 3332 5348 6494 6664 9359 10696 12988 13328 18718 21392 22729 25976 37436 45458 51952 74872 90916 149744 159103 181832 318206 363664 636412 1272824 2545648