Search a number
-
+
159026472 = 2332111991009
BaseRepresentation
bin10010111101010…
…00110100101000
3102002020101022100
421132220310220
5311202321342
623440253400
73640463013
oct1136506450
9362211270
10159026472
1181847a40
1245311260
1326c3c607
141719837a
15de63e4c
hex97a8d28

159026472 has 96 divisors (see below), whose sum is σ = 472680000. Its totient is φ = 47900160.

The previous prime is 159026453. The next prime is 159026489. The reversal of 159026472 is 274620951.

159026472 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 2 + 647 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 157104 + ... + 158112.

It is an arithmetic number, because the mean of its divisors is an integer number (4923750).

Almost surely, 2159026472 is an apocalyptic number.

159026472 is a gapful number since it is divisible by the number (12) 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 159026472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236340000).

159026472 is an abundant number, since it is smaller than the sum of its proper divisors (313653528).

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

159026472 is a wasteful number, since it uses less digits than its factorization.

159026472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 159026472 is about 12610.5698523104. The cubic root of 159026472 is about 541.7802152591.

The spelling of 159026472 in words is "one hundred fifty-nine million, twenty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 199 264 396 398 597 792 796 1009 1194 1592 1791 2018 2189 2388 3027 3582 4036 4378 4776 6054 6567 7164 8072 8756 9081 11099 12108 13134 14328 17512 18162 19701 22198 24216 26268 33297 36324 39402 44396 52536 66594 72648 78804 88792 99891 133188 157608 199782 200791 266376 399564 401582 602373 799128 803164 1204746 1606328 1807119 2208701 2409492 3614238 4417402 4818984 6626103 7228476 8834804 13252206 14456952 17669608 19878309 26504412 39756618 53008824 79513236 159026472