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54497080 = 23511211587
BaseRepresentation
bin1100111111100…
…0111100111000
310210112201221101
43033320330320
5102422401310
65224021144
71231134421
oct317707470
9123481841
1054497080
1128842510
12163017b4
13b3a12c1
147348648
154bb743a
hex33f8f38

54497080 has 64 divisors (see below), whose sum is σ = 134628480. Its totient is φ = 19689600.

The previous prime is 54497071. The next prime is 54497083. The reversal of 54497080 is 8079445.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54497083) 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, 92547 + ... + 93133.

It is an arithmetic number, because the mean of its divisors is an integer number (2103570).

Almost surely, 254497080 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 54497080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67314240).

54497080 is an abundant number, since it is smaller than the sum of its proper divisors (80131400).

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

54497080 is a wasteful number, since it uses less digits than its factorization.

54497080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 54497080 is about 7382.2137601129. The cubic root of 54497080 is about 379.1325550496.

The spelling of 54497080 in words is "fifty-four million, four hundred ninety-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 440 587 844 1055 1174 1688 2110 2321 2348 2935 4220 4642 4696 5870 6457 8440 9284 11605 11740 12914 18568 23210 23480 25828 32285 46420 51656 64570 92840 123857 129140 247714 258280 495428 619285 990856 1238570 1362427 2477140 2724854 4954280 5449708 6812135 10899416 13624270 27248540 54497080