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55981872 = 2432439041
BaseRepresentation
bin1101010110001…
…1011100110000
310220100011200200
43111203130300
5103312404442
65315515200
71246560312
oct325433460
9126304620
1055981872
1129667011
12168b8b00
13b7a108b
1476137b2
154dac34c
hex3563730

55981872 has 60 divisors (see below), whose sum is σ = 160332744. Its totient is φ = 18224640.

The previous prime is 55981853. The next prime is 55981873. The reversal of 55981872 is 27818955.

It is a happy number.

55981872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55981873) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1672 + ... + 10712.

Almost surely, 255981872 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 55981872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80166372).

55981872 is an abundant number, since it is smaller than the sum of its proper divisors (104350872).

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

55981872 is a wasteful number, since it uses less digits than its factorization.

55981872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9089 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 55981872 is about 7482.1034475607. The cubic root of 55981872 is about 382.5449492223.

The spelling of 55981872 in words is "fifty-five million, nine hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 9041 18082 27123 36164 54246 72328 81369 108492 144656 162738 216984 325476 388763 433968 650952 777526 1166289 1301904 1555052 2332578 3110104 3498867 4665156 6220208 6997734 9330312 13995468 18660624 27990936 55981872