Search a number
-
+
54552330 = 23257131661
BaseRepresentation
bin1101000000011…
…0011100001010
310210122112201200
43100012130022
5102431133310
65225125030
71231454460
oct320063412
9123575650
1054552330
112887aa78
1216329776
13b3c04b1
147360830
154bc89c0
hex340670a

54552330 has 96 divisors (see below), whose sum is σ = 163582848. Its totient is φ = 12355200.

The previous prime is 54552313. The next prime is 54552341. The reversal of 54552330 is 3325545.

It is a junction number, because it is equal to n+sod(n) for n = 54552294 and 54552303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82200 + ... + 82860.

It is an arithmetic number, because the mean of its divisors is an integer number (1703988).

Almost surely, 254552330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54552330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81791424).

54552330 is an abundant number, since it is smaller than the sum of its proper divisors (109030518).

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

54552330 is a wasteful number, since it uses less digits than its factorization.

54552330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

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

The square root of 54552330 is about 7385.9549145659. The cubic root of 54552330 is about 379.2606352992.

Adding to 54552330 its reverse (3325545), we get a palindrome (57877875).

The spelling of 54552330 in words is "fifty-four million, five hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 131 210 262 315 393 630 655 661 786 917 1179 1310 1322 1834 1965 1983 2358 2751 3305 3930 3966 4585 4627 5502 5895 5949 6610 8253 9170 9254 9915 11790 11898 13755 13881 16506 19830 23135 27510 27762 29745 41265 41643 46270 59490 69405 82530 83286 86591 138810 173182 208215 259773 416430 432955 519546 606137 779319 865910 1212274 1298865 1558638 1818411 2597730 3030685 3636822 3896595 5455233 6061370 7793190 9092055 10910466 18184110 27276165 54552330