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2545842 = 2313127257
BaseRepresentation
bin1001101101100010110010
311210100020110
421231202302
51122431332
6130322150
730432165
oct11554262
94710213
102545842
111489802
12a29356
136b1a20
144a3adc
153544cc
hex26d8b2

2545842 has 32 divisors (see below), whose sum is σ = 5548032. Its totient is φ = 774144.

The previous prime is 2545817. The next prime is 2545843. The reversal of 2545842 is 2485452.

2545842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25458422 = 12962622977928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2545843) 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 15 ways as a sum of consecutive naturals, for example, 9778 + ... + 10034.

It is an arithmetic number, because the mean of its divisors is an integer number (173376).

22545842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774016).

2545842 is an abundant number, since it is smaller than the sum of its proper divisors (3002190).

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

2545842 is a wasteful number, since it uses less digits than its factorization.

2545842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its digits is 12800, while the sum is 30.

The square root of 2545842 is about 1595.5694908088. The cubic root of 2545842 is about 136.5454235709.

The spelling of 2545842 in words is "two million, five hundred forty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 127 254 257 381 514 762 771 1542 1651 3302 3341 4953 6682 9906 10023 20046 32639 65278 97917 195834 424307 848614 1272921 2545842