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55981800 = 23335271481
BaseRepresentation
bin1101010110001…
…1011011101000
310220100011121000
43111203123220
5103312404200
65315515000
71246560150
oct325433350
9126304530
1055981800
1129666a56
12168b8a60
13b7a1034
147613760
154dac300
hex35636e8

55981800 has 192 divisors, whose sum is σ = 220521600. Its totient is φ = 12787200.

The previous prime is 55981787. The next prime is 55981819. The reversal of 55981800 is 818955.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37060 + ... + 38540.

It is an arithmetic number, because the mean of its divisors is an integer number (1148550).

Almost surely, 255981800 is an apocalyptic number.

55981800 is a gapful number since it is divisible by the number (50) 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 55981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

55981800 is an abundant number, since it is smaller than the sum of its proper divisors (164539800).

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

55981800 is a wasteful number, since it uses less digits than its factorization.

55981800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 55981800 is about 7482.0986360780. The cubic root of 55981800 is about 382.5447852213.

The spelling of 55981800 in words is "fifty-five million, nine hundred eighty-one thousand, eight hundred".