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42554160 = 2435511199
BaseRepresentation
bin1010001001010…
…1001100110000
32222001222100000
42202111030300
541343213120
64120030000
71024463415
oct242251460
988058300
1042554160
1122025630
1212302300
138a7c29c
14591a10c
153b08990
hex2895330

42554160 has 240 divisors, whose sum is σ = 162489600. Its totient is φ = 10264320.

The previous prime is 42554159. The next prime is 42554173. The reversal of 42554160 is 6145524.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213741 + ... + 213939.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 242554160 is an apocalyptic number.

42554160 is a gapful number since it is divisible by the number (40) 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 42554160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

42554160 is an abundant number, since it is smaller than the sum of its proper divisors (119935440).

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

42554160 is a wasteful number, since it uses less digits than its factorization.

42554160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42554160 is about 6523.3549650467. The cubic root of 42554160 is about 349.1247792066.

Adding to 42554160 its reverse (6145524), we get a palindrome (48699684).

The spelling of 42554160 in words is "forty-two million, five hundred fifty-four thousand, one hundred sixty".