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4008132 = 2232111337
BaseRepresentation
bin1111010010100011000100
321112122010100
433102203010
52011230012
6221524100
746032342
oct17224304
97478110
104008132
112298407
121413630
13aa449b
14764992
155428dc
hex3d28c4

4008132 has 18 divisors (see below), whose sum is σ = 10131758. Its totient is φ = 1336032.

The previous prime is 4008131. The next prime is 4008133. The reversal of 4008132 is 2318004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4008131) and next prime (4008133).

It can be written as a sum of positive squares in only one way, i.e., 3261636 + 746496 = 1806^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4008131) 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, 55633 + ... + 55704.

Almost surely, 24008132 is an apocalyptic number.

It is an amenable number.

4008132 is an abundant number, since it is smaller than the sum of its proper divisors (6123626).

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

4008132 is a wasteful number, since it uses less digits than its factorization.

4008132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111347 (or 111342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4008132 is about 2002.0319677767. The cubic root of 4008132 is about 158.8476052584.

The spelling of 4008132 in words is "four million, eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 111337 222674 334011 445348 668022 1002033 1336044 2004066 4008132