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55135080 = 233457111317
BaseRepresentation
bin1101001001010…
…0101101101000
310211202011010000
43102110231220
5103103310310
65245423000
71236432450
oct322245550
9124664100
1055135080
1129138890
121656aa60
13b565810
147472d60
154c914c0
hex3494b68

55135080 has 640 divisors, whose sum is σ = 263450880. Its totient is φ = 9953280.

The previous prime is 55135049. The next prime is 55135099. The reversal of 55135080 is 8053155.

55135080 is a `hidden beast` number, since 551 + 35 + 0 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 3243232 + ... + 3243248.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 255135080 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 55135080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

55135080 is an abundant number, since it is smaller than the sum of its proper divisors (208315800).

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

55135080 is a wasteful number, since it uses less digits than its factorization.

55135080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55135080 is about 7425.2999939396. The cubic root of 55135080 is about 380.6063265852.

The spelling of 55135080 in words is "fifty-five million, one hundred thirty-five thousand, eighty".