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165736428 = 2231113591637
BaseRepresentation
bin10011110000011…
…10111111101100
3102112212021122020
421320032333230
5314412031203
624240150140
74051510404
oct1170167754
9375767566
10165736428
1185610260
1247608350
132844b7c0
1418023804
15e83c153
hex9e0efec

165736428 has 96 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 45546240.

The previous prime is 165736427. The next prime is 165736433. The reversal of 165736428 is 824637561.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 165736428.

It is not an unprimeable number, because it can be changed into a prime (165736427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100426 + ... + 102062.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2165736428 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 165736428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

165736428 is an abundant number, since it is smaller than the sum of its proper divisors (296572692).

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

165736428 is a wasteful number, since it uses less digits than its factorization.

165736428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1725 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 165736428 is about 12873.8660859899. The cubic root of 165736428 is about 549.2954372180.

The spelling of 165736428 in words is "one hundred sixty-five million, seven hundred thirty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 118 132 143 156 177 236 286 354 429 572 649 708 767 858 1298 1534 1637 1716 1947 2301 2596 3068 3274 3894 4602 4911 6548 7788 8437 9204 9822 16874 18007 19644 21281 25311 33748 36014 42562 50622 54021 63843 72028 85124 96583 101244 108042 127686 193166 216084 234091 255372 289749 386332 468182 579498 702273 936364 1062413 1158996 1255579 1404546 2124826 2511158 2809092 3187239 3766737 4249652 5022316 6374478 7533474 12748956 13811369 15066948 27622738 41434107 55245476 82868214 165736428