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55917000 = 23335319109
BaseRepresentation
bin1101010101001…
…1100111001000
310220012212201000
43111103213020
5103303321000
65314255000
71246200216
oct325234710
9126185630
1055917000
11296222a7
1216887460
13b77a6a9
1475d7cb6
154d98000
hex35539c8

55917000 has 256 divisors, whose sum is σ = 205920000. Its totient is φ = 13996800.

The previous prime is 55916983. The next prime is 55917007. The reversal of 55917000 is 71955.

55917000 is a `hidden beast` number, since 5 + 591 + 70 + 0 + 0 = 666.

55917000 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55917007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 512946 + ... + 513054.

It is an arithmetic number, because the mean of its divisors is an integer number (804375).

Almost surely, 255917000 is an apocalyptic number.

55917000 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 55917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960000).

55917000 is an abundant number, since it is smaller than the sum of its proper divisors (150003000).

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

55917000 is a wasteful number, since it uses less digits than its factorization.

55917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 55917000 is about 7477.7670463849. The cubic root of 55917000 is about 382.3971272754.

Adding to 55917000 its reverse (71955), we get a palindrome (55988955).

The spelling of 55917000 in words is "fifty-five million, nine hundred seventeen thousand".