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422733 = 32943113
BaseRepresentation
bin1100111001101001101
3210110212210
41213031031
5102011413
613021033
73410313
oct1471515
9713783
10422733
11269673
12184779
1311a54c
14b00b3
15853c3
hex6734d

422733 has 16 divisors (see below), whose sum is σ = 601920. Its totient is φ = 263424.

The previous prime is 422711. The next prime is 422749. The reversal of 422733 is 337224.

It is a happy number.

It is not a de Polignac number, because 422733 - 25 = 422701 is a prime.

It is a d-powerful number, because it can be written as 48 + 29 + 73 + 211 + 311 + 311 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422753) by changing a digit.

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, 3685 + ... + 3797.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2422733 is an apocalyptic number.

422733 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

422733 is a deficient number, since it is larger than the sum of its proper divisors (179187).

422733 is a wasteful number, since it uses less digits than its factorization.

422733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

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

The square root of 422733 is about 650.1792060655. The cubic root of 422733 is about 75.0508100146.

Adding to 422733 its reverse (337224), we get a palindrome (759957).

It can be divided in two parts, 42 and 2733, that added together give a triangular number (2775 = T74).

The spelling of 422733 in words is "four hundred twenty-two thousand, seven hundred thirty-three".

Divisors: 1 3 29 43 87 113 129 339 1247 3277 3741 4859 9831 14577 140911 422733