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4200133 = 7285717
BaseRepresentation
bin10000000001011011000101
321220101111111
4100001123011
52033401013
6230005021
750462200
oct20013305
97811444
104200133
112409693
1214a6771
13b409b2
147b4937
1557e73d
hex4016c5

4200133 has 6 divisors (see below), whose sum is σ = 4885926. Its totient is φ = 3600072.

The previous prime is 4200127. The next prime is 4200137. The reversal of 4200133 is 3310024.

It can be written as a sum of positive squares in only one way, i.e., 3038049 + 1162084 = 1743^2 + 1078^2 .

It is a de Polignac number, because none of the positive numbers 2k-4200133 is a prime.

It is a super-2 number, since 2×42001332 = 35282234435378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42810 + ... + 42907.

It is an arithmetic number, because the mean of its divisors is an integer number (814321).

Almost surely, 24200133 is an apocalyptic number.

It is an amenable number.

4200133 is a deficient number, since it is larger than the sum of its proper divisors (685793).

4200133 is an equidigital number, since it uses as much as digits as its factorization.

4200133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85731 (or 85724 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4200133 is about 2049.4226016125. The cubic root of 4200133 is about 161.3445676480.

Adding to 4200133 its reverse (3310024), we get a palindrome (7510157).

The spelling of 4200133 in words is "four million, two hundred thousand, one hundred thirty-three".

Divisors: 1 7 49 85717 600019 4200133