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2408142 = 2311231107
BaseRepresentation
bin1001001011111011001110
311112100100110
421023323032
51104030032
6123340450
726316552
oct11137316
94470313
102408142
1113a5300
12981726
13664149
14469862
153287cc
hex24bece

2408142 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 699600.

The previous prime is 2408141. The next prime is 2408149. The reversal of 2408142 is 2418042.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408141) 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 23 ways as a sum of consecutive naturals, for example, 22453 + ... + 22559.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22408142 is an apocalyptic number.

2408142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2408142 is an abundant number, since it is smaller than the sum of its proper divisors (3107634).

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

2408142 is a wasteful number, since it uses less digits than its factorization.

2408142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2408142 is about 1551.8189327367. The cubic root of 2408142 is about 134.0378225452.

The spelling of 2408142 in words is "two million, four hundred eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 107 121 186 214 242 321 341 363 642 682 726 1023 1177 2046 2354 3317 3531 3751 6634 7062 7502 9951 11253 12947 19902 22506 25894 36487 38841 72974 77682 109461 218922 401357 802714 1204071 2408142