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142382556 = 22338914813
BaseRepresentation
bin10000111110010…
…01010111011100
3100220220210011000
420133021113130
5242422220211
622043430300
73346142331
oct1037112734
9326823130
10142382556
117340a138
123b825390
1323662944
1414ca4988
15c777656
hex87c95dc

142382556 has 48 divisors (see below), whose sum is σ = 373312800. Its totient is φ = 46924416.

The previous prime is 142382551. The next prime is 142382563. The reversal of 142382556 is 655283241.

142382556 is a `hidden beast` number, since 1 + 4 + 23 + 82 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142382556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142382551) 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, 2206 + ... + 17018.

It is an arithmetic number, because the mean of its divisors is an integer number (7777350).

Almost surely, 2142382556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142382556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186656400).

142382556 is an abundant number, since it is smaller than the sum of its proper divisors (230930244).

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

142382556 is a wasteful number, since it uses less digits than its factorization.

142382556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915 (or 14907 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 142382556 is about 11932.4161844951. The cubic root of 142382556 is about 522.1784302161.

The spelling of 142382556 in words is "one hundred forty-two million, three hundred eighty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4806 9612 14813 29626 44439 59252 88878 133317 177756 266634 399951 533268 799902 1318357 1599804 2636714 3955071 5273428 7910142 11865213 15820284 23730426 35595639 47460852 71191278 142382556