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2738988 = 223373623
BaseRepresentation
bin1010011100101100101100
312011011012000
422130230230
51200121423
6134412300
732165250
oct12345454
95134160
102738988
11160092a
12b01090
1374b905
14514260
15391843
hex29cb2c

2738988 has 48 divisors (see below), whose sum is σ = 8117760. Its totient is φ = 782352.

The previous prime is 2738947. The next prime is 2739013. The reversal of 2738988 is 8898372.

2738988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2738988 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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 15 ways as a sum of consecutive naturals, for example, 1056 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (169120).

22738988 is an apocalyptic number.

2738988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2738988 is an abundant number, since it is smaller than the sum of its proper divisors (5378772).

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

2738988 is a wasteful number, since it uses less digits than its factorization.

2738988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3635 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 2738988 is about 1654.9888217145. The cubic root of 2738988 is about 139.9147099554.

Subtracting from 2738988 its product of digits (193536), we obtain a palindrome (2545452).

It can be divided in two parts, 273 and 8988, that added together give a cube (9261 = 213).

The spelling of 2738988 in words is "two million, seven hundred thirty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 3623 7246 10869 14492 21738 25361 32607 43476 50722 65214 76083 97821 101444 130428 152166 195642 228249 304332 391284 456498 684747 912996 1369494 2738988