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55287680 = 275724143
BaseRepresentation
bin1101001011100…
…1111110000000
310212000220102212
43102321332000
5103123201210
65253001252
71240636400
oct322717600
9125026385
1055287680
11292324a8
1216623228
13b5ba106
1474b2800
154cc1805
hex34b9f80

55287680 has 192 divisors, whose sum is σ = 161164080. Its totient is φ = 18063360.

The previous prime is 55287671. The next prime is 55287691. The reversal of 55287680 is 8678255.

55287680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1285739 + ... + 1285781.

Almost surely, 255287680 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 55287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582040).

55287680 is an abundant number, since it is smaller than the sum of its proper divisors (105876400).

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

55287680 is a wasteful number, since it uses less digits than its factorization.

55287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 55287680 is about 7435.5685727455. The cubic root of 55287680 is about 380.9571439087.

The spelling of 55287680 in words is "fifty-five million, two hundred eighty-seven thousand, six hundred eighty".