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2801493 = 331943127
BaseRepresentation
bin1010101011111101010101
312021022221000
422223331111
51204121433
6140013513
732545422
oct12537525
95238830
102801493
111643892
12b31299
137711b6
1452cd49
153a5113
hex2abf55

2801493 has 32 divisors (see below), whose sum is σ = 4505600. Its totient is φ = 1714608.

The previous prime is 2801483. The next prime is 2801509. The reversal of 2801493 is 3941082.

2801493 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 2801493 - 28 = 2801237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

2801493 is a lucky number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21996 + ... + 22122.

It is an arithmetic number, because the mean of its divisors is an integer number (140800).

22801493 is an apocalyptic number.

It is an amenable number.

2801493 is a deficient number, since it is larger than the sum of its proper divisors (1704107).

2801493 is a wasteful number, since it uses less digits than its factorization.

2801493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2801493 is about 1673.7661126932. The cubic root of 2801493 is about 140.9710216591.

Adding to 2801493 its product of nonzero digits (1728), we get a cube (2803221 = 1413).

The spelling of 2801493 in words is "two million, eight hundred one thousand, four hundred ninety-three".

Divisors: 1 3 9 19 27 43 57 127 129 171 381 387 513 817 1143 1161 2413 2451 3429 5461 7239 7353 16383 21717 22059 49149 65151 103759 147447 311277 933831 2801493