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55487520 = 253251131113
BaseRepresentation
bin1101001110101…
…0110000100000
310212102001120100
43103222300200
5103201100040
65301142400
71242431124
oct323526040
9125361510
1055487520
1129359660
12166baa00
13b65a06a
147525584
154d10b30
hex34eac20

55487520 has 288 divisors, whose sum is σ = 215115264. Its totient is φ = 12902400.

The previous prime is 55487513. The next prime is 55487533. The reversal of 55487520 is 2578455.

It is a happy number.

55487520 is a `hidden beast` number, since 5 + 54 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490984 + ... + 491096.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 255487520 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 55487520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

55487520 is an abundant number, since it is smaller than the sum of its proper divisors (159627744).

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

55487520 is a wasteful number, since it uses less digits than its factorization.

55487520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55487520 is about 7448.9945630266. The cubic root of 55487520 is about 381.4155880179.

The spelling of 55487520 in words is "fifty-five million, four hundred eighty-seven thousand, five hundred twenty".