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2494688 = 25723743
BaseRepresentation
bin1001100001000011100000
311200202001212
421201003200
51114312223
6125245252
730130100
oct11410340
94622055
102494688
111454329
12a03828
13694661
1448d200
15344278
hex2610e0

2494688 has 72 divisors (see below), whose sum is σ = 6004152. Its totient is φ = 1016064.

The previous prime is 2494673. The next prime is 2494693. The reversal of 2494688 is 8864942.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57995 + ... + 58037.

It is an arithmetic number, because the mean of its divisors is an integer number (83391).

22494688 is an apocalyptic number.

2494688 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 2494688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002076).

2494688 is an abundant number, since it is smaller than the sum of its proper divisors (3509464).

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

2494688 is a wasteful number, since it uses less digits than its factorization.

2494688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 2494688 is about 1579.4581349311. The cubic root of 2494688 is about 135.6246860902.

The spelling of 2494688 in words is "two million, four hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 43 49 56 74 86 98 112 148 172 196 224 259 296 301 344 392 518 592 602 688 784 1036 1184 1204 1376 1568 1591 1813 2072 2107 2408 3182 3626 4144 4214 4816 6364 7252 8288 8428 9632 11137 12728 14504 16856 22274 25456 29008 33712 44548 50912 58016 67424 77959 89096 155918 178192 311836 356384 623672 1247344 2494688