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55016640 = 2632572729
BaseRepresentation
bin1101000111011…
…1110011000000
310211112010122100
43101313303000
5103041013030
65243110400
71235430240
oct321676300
9124463570
1055016640
11290678a8
1216512400
13b523933
147441b20
154c6b360
hex3477cc0

55016640 has 168 divisors, whose sum is σ = 216347040. Its totient is φ = 12570624.

The previous prime is 55016639. The next prime is 55016653. The reversal of 55016640 is 4661055.

It is a happy number.

55016640 is a `hidden beast` number, since 5 + 5 + 0 + 16 + 640 = 666.

55016640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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, 18796 + ... + 21524.

It is an arithmetic number, because the mean of its divisors is an integer number (1287780).

Almost surely, 255016640 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 55016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108173520).

55016640 is an abundant number, since it is smaller than the sum of its proper divisors (161330400).

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

55016640 is a wasteful number, since it uses less digits than its factorization.

55016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55016640 is about 7417.3202708256. The cubic root of 55016640 is about 380.3335944084. Note that the first 3 decimals are identical.

Adding to 55016640 its reverse (4661055), we get a palindrome (59677695).

The spelling of 55016640 in words is "fifty-five million, sixteen thousand, six hundred forty".