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54523530 = 234583811
BaseRepresentation
bin1100111111111…
…1011010001010
310210121002020000
43033333122022
5102424223110
65224343430
71231304505
oct317773212
9123532200
1054523530
1128860376
1216314b76
13b3b0359
14735413c
154bc01c0
hex33ff68a

54523530 has 80 divisors (see below), whose sum is σ = 148557024. Its totient is φ = 14346720.

The previous prime is 54523529. The next prime is 54523543. The reversal of 54523530 is 3532545.

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

It is a junction number, because it is equal to n+sod(n) for n = 54523494 and 54523503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66825 + ... + 67635.

Almost surely, 254523530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54523530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74278512).

54523530 is an abundant number, since it is smaller than the sum of its proper divisors (94033494).

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

54523530 is a wasteful number, since it uses less digits than its factorization.

54523530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 54523530 is about 7384.0050108325. The cubic root of 54523530 is about 379.1938820916.

The spelling of 54523530 in words is "fifty-four million, five hundred twenty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 498 747 810 811 830 1245 1494 1622 2241 2433 2490 3735 4055 4482 4866 6723 7299 7470 8110 11205 12165 13446 14598 21897 22410 24330 33615 36495 43794 65691 67230 67313 72990 109485 131382 134626 201939 218970 328455 336565 403878 605817 656910 673130 1009695 1211634 1817451 2019390 3029085 3634902 5452353 6058170 9087255 10904706 18174510 27261765 54523530