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36152142 = 23132101353
BaseRepresentation
bin1000100111101…
…0001101001110
32112000201102020
42021322031032
533223332032
63330511010
7616200555
oct211721516
975021366
1036152142
1119452704
1210135466
13764a300
144b30d9c
153291b2c
hex227a34e

36152142 has 48 divisors (see below), whose sum is σ = 79293168. Its totient is φ = 10982400.

The previous prime is 36152141. The next prime is 36152143. The reversal of 36152142 is 24125163.

36152142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36152141) and next prime (36152143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36152141) 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, 102238 + ... + 102590.

It is an arithmetic number, because the mean of its divisors is an integer number (1651941).

Almost surely, 236152142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36152142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39646584).

36152142 is an abundant number, since it is smaller than the sum of its proper divisors (43141026).

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

36152142 is a wasteful number, since it uses less digits than its factorization.

36152142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 36152142 is about 6012.6651328675. The cubic root of 36152142 is about 330.6572209859.

The spelling of 36152142 in words is "thirty-six million, one hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 101 169 202 303 338 353 507 606 706 1014 1059 1313 2118 2626 3939 4589 7878 9178 13767 17069 27534 34138 35653 51207 59657 71306 102414 106959 119314 178971 213918 357942 463489 926978 1390467 2780934 6025357 12050714 18076071 36152142