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55017144 = 2335713311
BaseRepresentation
bin1101000111011…
…1111010111000
310211112011100000
43101313322320
5103041022034
65243113000
71235431560
oct321677270
9124464300
1055017144
1129068216
1216512760
13b523c30
147441da0
154c6b599
hex3477eb8

55017144 has 192 divisors, whose sum is σ = 190794240. Its totient is φ = 14463360.

The previous prime is 55017143. The next prime is 55017199. The reversal of 55017144 is 44171055.

It is a happy number.

55017144 is a `hidden beast` number, since 550 + 1 + 71 + 44 = 666.

It is a super-2 number, since 2×550171442 = 6053772267833472, which contains 22 as substring.

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 (55017143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176749 + ... + 177059.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 255017144 is an apocalyptic number.

55017144 is a gapful number since it is divisible by the number (54) 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 55017144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397120).

55017144 is an abundant number, since it is smaller than the sum of its proper divisors (135777096).

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

55017144 is a wasteful number, since it uses less digits than its factorization.

55017144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 55017144 is about 7417.3542452818. The cubic root of 55017144 is about 380.3347557997.

Adding to 55017144 its reverse (44171055), we get a palindrome (99188199).

The spelling of 55017144 in words is "fifty-five million, seventeen thousand, one hundred forty-four".