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155648 = 21319
BaseRepresentation
bin100110000000000000
321220111202
4212000000
514440043
63200332
71215533
oct460000
9256452
10155648
11a6a39
12760a8
1355acc
1440a1a
15311b8
hex26000

155648 has 28 divisors (see below), whose sum is σ = 327660. Its totient is φ = 73728.

The previous prime is 155627. The next prime is 155653. The reversal of 155648 is 846551.

It is a happy number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 155648.

It is a congruent number.

It is an unprimeable number.

155648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8183 + ... + 8201.

155648 is a Friedman number, since it can be written as 8^5*(6-5/(4*1)), using all its digits and the basic arithmetic operations.

2155648 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 155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163830).

155648 is an abundant number, since it is smaller than the sum of its proper divisors (172012).

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

155648 is an frugal number, since it uses more digits than its factorization.

155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 21 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 155648 is about 394.5224961900. The cubic root of 155648 is about 53.7916065088.

The spelling of 155648 in words is "one hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4096 4864 8192 9728 19456 38912 77824 155648