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159552 = 2632277
BaseRepresentation
bin100110111101000000
322002212100
4212331000
520101202
63230400
71233111
oct467500
9262770
10159552
11a9968
1278400
1357813
1442208
153241c
hex26f40

159552 has 42 divisors (see below), whose sum is σ = 458978. Its totient is φ = 52992.

The previous prime is 159541. The next prime is 159553. The reversal of 159552 is 255951.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 46656 = 336^2 + 216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159553) by changing a digit.

159552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438 + ... + 714.

2159552 is an apocalyptic number.

159552 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 159552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229489).

159552 is an abundant number, since it is smaller than the sum of its proper divisors (299426).

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

159552 is a wasteful number, since it uses less digits than its factorization.

159552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 159552 is about 399.4396074502. The cubic root of 159552 is about 54.2376358382.

The spelling of 159552 in words is "one hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 277 288 554 576 831 1108 1662 2216 2493 3324 4432 4986 6648 8864 9972 13296 17728 19944 26592 39888 53184 79776 159552