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55323648 = 210342329
BaseRepresentation
bin1101001100001…
…0110000000000
310212002201210000
43103002300000
5103130324043
65253440000
71241146302
oct323026000
9125081700
1055323648
1129257526
1216640000
13b6005b3
1474c1972
154ccc2d3
hex34c2c00

55323648 has 220 divisors, whose sum is σ = 178334640. Its totient is φ = 17031168.

The previous prime is 55323641. The next prime is 55323673. The reversal of 55323648 is 84632355.

It is a happy number.

55323648 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 3 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55323641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1907698 + ... + 1907726.

It is an arithmetic number, because the mean of its divisors is an integer number (810612).

Almost surely, 255323648 is an apocalyptic number.

55323648 is a gapful number since it is divisible by the number (58) 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 55323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89167320).

55323648 is an abundant number, since it is smaller than the sum of its proper divisors (123010992).

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

55323648 is a wasteful number, since it uses less digits than its factorization.

55323648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55323648 is about 7437.9868244035. The cubic root of 55323648 is about 381.0397379347.

It can be divided in two parts, 5532 and 3648, that added together give a triangular number (9180 = T135).

The spelling of 55323648 in words is "fifty-five million, three hundred twenty-three thousand, six hundred forty-eight".