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159149448 = 233629941
BaseRepresentation
bin10010111110001…
…10110110001000
3102002110122000000
421133012312020
5311220240243
623443043000
73641514363
oct1137066610
9362418000
10159149448
1181921377
1245370460
1326c83593
14171cb0da
15de8a5d3
hex97c6d88

159149448 has 112 divisors (see below), whose sum is σ = 463322700. Its totient is φ = 51166080.

The previous prime is 159149387. The next prime is 159149449. The reversal of 159149448 is 844941951.

It is a happy number.

159149448 is a `hidden beast` number, since 159 + 1 + 494 + 4 + 8 = 666.

159149448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 158306724 + 842724 = 12582^2 + 918^2 .

It is not an unprimeable number, because it can be changed into a prime (159149449) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 168658 + ... + 169598.

Almost surely, 2159149448 is an apocalyptic number.

159149448 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 159149448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231661350).

159149448 is an abundant number, since it is smaller than the sum of its proper divisors (304173252).

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

159149448 is an equidigital number, since it uses as much as digits as its factorization.

159149448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 975 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 159149448 is about 12615.4448197438. Note that the first 3 decimals coincide. The cubic root of 159149448 is about 541.9198330981.

The spelling of 159149448 in words is "one hundred fifty-nine million, one hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 729 783 941 972 1044 1458 1566 1882 1944 2088 2349 2823 2916 3132 3764 4698 5646 5832 6264 7047 7528 8469 9396 11292 14094 16938 18792 21141 22584 25407 27289 28188 33876 42282 50814 54578 56376 67752 76221 81867 84564 101628 109156 152442 163734 169128 203256 218312 228663 245601 304884 327468 457326 491202 609768 654936 685989 736803 914652 982404 1371978 1473606 1829304 1964808 2210409 2743956 2947212 4420818 5487912 5894424 6631227 8841636 13262454 17683272 19893681 26524908 39787362 53049816 79574724 159149448