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159948832 = 2561671223
BaseRepresentation
bin10011000100010…
…10000000100000
3102010222020112211
421202022000200
5311421330312
623512131504
73651354061
oct1142120040
9363866484
10159948832
1182317a1a
1245696b94
13271a33a4
1417358568
15e0973a7
hex988a020

159948832 has 48 divisors (see below), whose sum is σ = 325104192. Its totient is φ = 77425920.

The previous prime is 159948827. The next prime is 159948847. The reversal of 159948832 is 238849951.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130173 + ... + 131395.

It is an arithmetic number, because the mean of its divisors is an integer number (6773004).

Almost surely, 2159948832 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 159948832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162552096).

159948832 is an abundant number, since it is smaller than the sum of its proper divisors (165155360).

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

159948832 is a wasteful number, since it uses less digits than its factorization.

159948832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1353 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

The square root of 159948832 is about 12647.0878861499. The cubic root of 159948832 is about 542.8256457652.

The spelling of 159948832 in words is "one hundred fifty-nine million, nine hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 67 122 134 244 268 488 536 976 1072 1223 1952 2144 2446 4087 4892 8174 9784 16348 19568 32696 39136 65392 74603 81941 130784 149206 163882 298412 327764 596824 655528 1193648 1311056 2387296 2622112 4998401 9996802 19993604 39987208 79974416 159948832