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3638142 = 23389757
BaseRepresentation
bin1101111000001101111110
320211211121000
431320031332
51412410032
6205551130
742631554
oct15701576
96754530
103638142
112065432
1212754a6
139a4c61
146a9bd4
154bce7c
hex37837e

3638142 has 32 divisors (see below), whose sum is σ = 8186400. Its totient is φ = 1197504.

The previous prime is 3638113. The next prime is 3638147. The reversal of 3638142 is 2418363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4428 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (255825).

Almost surely, 23638142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093200).

3638142 is an abundant number, since it is smaller than the sum of its proper divisors (4548258).

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

3638142 is a wasteful number, since it uses less digits than its factorization.

3638142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3638142 is about 1907.3914123745. The cubic root of 3638142 is about 153.8012559625.

The spelling of 3638142 in words is "three million, six hundred thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 757 801 1514 1602 2271 2403 4542 4806 6813 13626 20439 40878 67373 134746 202119 404238 606357 1212714 1819071 3638142