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156087828 = 2232131971693
BaseRepresentation
bin10010100110110…
…11011000010100
3101212201002020200
421103123120110
5304424302303
623253300500
73603503361
oct1123333024
9355632220
10156087828
1180120106
1244334730
1326450b80
1416a31468
15da833a3
hex94db614

156087828 has 72 divisors (see below), whose sum is σ = 427314888. Its totient is φ = 47755008.

The previous prime is 156087791. The next prime is 156087847. The reversal of 156087828 is 828780651.

156087828 is a `hidden beast` number, since 1 + 560 + 8 + 7 + 82 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30603024 + 125484804 = 5532^2 + 11202^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 91350 + ... + 93042.

It is an arithmetic number, because the mean of its divisors is an integer number (5934929).

Almost surely, 2156087828 is an apocalyptic number.

156087828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156087828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213657444).

156087828 is an abundant number, since it is smaller than the sum of its proper divisors (271227060).

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

156087828 is a wasteful number, since it uses less digits than its factorization.

156087828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 156087828 is about 12493.5114359415. The cubic root of 156087828 is about 538.4222672123.

It can be divided in two parts, 15608 and 7828, that added together give a triangular number (23436 = T216).

The spelling of 156087828 in words is "one hundred fifty-six million, eighty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1693 1773 2364 2561 3386 3546 5079 5122 6772 7092 7683 10158 10244 15237 15366 20316 22009 23049 30474 30732 44018 46098 60948 66027 88036 92196 132054 198081 264108 333521 396162 667042 792324 1000563 1334084 2001126 3001689 4002252 4335773 6003378 8671546 12006756 13007319 17343092 26014638 39021957 52029276 78043914 156087828