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2553488 = 24723257
BaseRepresentation
bin1001101111011010010000
311210201201122
421233122100
51123202423
6130421412
730463400
oct11573220
94721648
102553488
111494523
12a31868
136b5352
144a6800
153568c8
hex26f690

2553488 has 30 divisors (see below), whose sum is σ = 5756886. Its totient is φ = 1094016.

The previous prime is 2553457. The next prime is 2553491. The reversal of 2553488 is 8843552.

2553488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2458624 + 94864 = 1568^2 + 308^2 .

It is a super-2 number, since 2×25534882 = 13040601932288, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 845 + ... + 2412.

22553488 is an apocalyptic number.

2553488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2553488 is an abundant number, since it is smaller than the sum of its proper divisors (3203398).

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

2553488 is a wasteful number, since it uses less digits than its factorization.

2553488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3266 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 2553488 is about 1597.9637042186. The cubic root of 2553488 is about 136.6819838738.

Subtracting 2553488 from its reverse (8843552), we obtain a square (6290064 = 25082).

The spelling of 2553488 in words is "two million, five hundred fifty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3257 6514 13028 22799 26056 45598 52112 91196 159593 182392 319186 364784 638372 1276744 2553488