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54487080 = 2334567251
BaseRepresentation
bin1100111111011…
…0100000101000
310210112020020000
43033312200220
5102422041310
65223503000
71231063314
oct317664050
9123466200
1054487080
1128835a4a
12162b7a60
13b39989b
147344b44
154bb44c0
hex33f6828

54487080 has 160 divisors (see below), whose sum is σ = 186611040. Its totient is φ = 14256000.

The previous prime is 54487067. The next prime is 54487087. The reversal of 54487080 is 8078445.

54487080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54487087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216955 + ... + 217205.

It is an arithmetic number, because the mean of its divisors is an integer number (1166319).

Almost surely, 254487080 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 54487080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93305520).

54487080 is an abundant number, since it is smaller than the sum of its proper divisors (132123960).

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

54487080 is a wasteful number, since it uses less digits than its factorization.

54487080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54487080 is about 7381.5364254334. The cubic root of 54487080 is about 379.1093638531.

The spelling of 54487080 in words is "fifty-four million, four hundred eighty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 81 90 108 120 134 135 162 180 201 216 251 268 270 324 335 360 402 405 502 536 540 603 648 670 753 804 810 1004 1005 1080 1206 1255 1340 1506 1608 1620 1809 2008 2010 2259 2412 2510 2680 3012 3015 3240 3618 3765 4020 4518 4824 5020 5427 6024 6030 6777 7236 7530 8040 9036 9045 10040 10854 11295 12060 13554 14472 15060 16817 18072 18090 20331 21708 22590 24120 27108 27135 30120 33634 33885 36180 40662 43416 45180 50451 54216 54270 67268 67770 72360 81324 84085 90360 100902 101655 108540 134536 135540 151353 162648 168170 201804 203310 217080 252255 271080 302706 336340 403608 406620 454059 504510 605412 672680 756765 813240 908118 1009020 1210824 1362177 1513530 1816236 2018040 2270295 2724354 3027060 3632472 4540590 5448708 6054120 6810885 9081180 10897416 13621770 18162360 27243540 54487080