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54455080 = 23517731097
BaseRepresentation
bin1100111110111…
…0101100101000
310210110121022211
43033232230220
5102420030310
65223054504
71230601111
oct317565450
9123417284
1054455080
11288139a9
12162a1434
13b388154
147337208
154ba9c8a
hex33eeb28

54455080 has 64 divisors (see below), whose sum is σ = 131628240. Its totient is φ = 20201472.

The previous prime is 54455077. The next prime is 54455081. The reversal of 54455080 is 8055445.

It can be written as a sum of positive squares in 8 ways, for example, as 27185796 + 27269284 = 5214^2 + 5222^2 .

It is not an unprimeable number, because it can be changed into a prime (54455081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49092 + ... + 50188.

Almost surely, 254455080 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 54455080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65814120).

54455080 is an abundant number, since it is smaller than the sum of its proper divisors (77173160).

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

54455080 is a wasteful number, since it uses less digits than its factorization.

54455080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 54455080 is about 7379.3685366703. The cubic root of 54455080 is about 379.0351329507.

The spelling of 54455080 in words is "fifty-four million, four hundred fifty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 1097 1241 1460 2194 2482 2920 4388 4964 5485 6205 8776 9928 10970 12410 18649 21940 24820 37298 43880 49640 74596 80081 93245 149192 160162 186490 320324 372980 400405 640648 745960 800810 1361377 1601620 2722754 3203240 5445508 6806885 10891016 13613770 27227540 54455080