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2733042 = 231337947
BaseRepresentation
bin1010011011001111110010
312010212000210
422123033302
51144424132
6134324550
732142024
oct12331762
95125023
102733042
1115a7414
12ab9756
13748cb0
14512014
1538ebcc
hex29b3f2

2733042 has 32 divisors (see below), whose sum is σ = 6052032. Its totient is φ = 817344.

The previous prime is 2733041. The next prime is 2733043. The reversal of 2733042 is 2403372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2733041) and next prime (2733043).

It is not an unprimeable number, because it can be changed into a prime (2733041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2413 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (189126).

22733042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2733042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026016).

2733042 is an abundant number, since it is smaller than the sum of its proper divisors (3318990).

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

2733042 is a wasteful number, since it uses less digits than its factorization.

2733042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2733042 is about 1653.1914589666. The cubic root of 2733042 is about 139.8133908307.

It can be divided in two parts, 27330 and 42, that added together give a palindrome (27372).

The spelling of 2733042 in words is "two million, seven hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 947 962 1443 1894 2841 2886 5682 12311 24622 35039 36933 70078 73866 105117 210234 455507 911014 1366521 2733042