Search a number
-
+
54545616 = 2433314073
BaseRepresentation
bin1101000000010…
…0110011010000
310210122012112000
43100010303100
5102430424431
65225034000
71231426056
oct320046320
9123565460
1054545616
1128875a24
1216325900
13b3ba418
14735c1d6
154bc69e6
hex3404cd0

54545616 has 80 divisors (see below), whose sum is σ = 161656320. Its totient is φ = 17591040.

The previous prime is 54545609. The next prime is 54545653. The reversal of 54545616 is 61654545.

54545616 is a `hidden beast` number, since 54 + 545 + 61 + 6 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11356 + ... + 15428.

It is an arithmetic number, because the mean of its divisors is an integer number (2020704).

Almost surely, 254545616 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 54545616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80828160).

54545616 is an abundant number, since it is smaller than the sum of its proper divisors (107110704).

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

54545616 is a wasteful number, since it uses less digits than its factorization.

54545616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4109 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 54545616 is about 7385.5003892763. The cubic root of 54545616 is about 379.2450755582.

The spelling of 54545616 in words is "fifty-four million, five hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4073 4464 6696 8146 12219 13392 16292 24438 32584 36657 48876 65168 73314 97752 109971 126263 146628 195504 219942 252526 293256 378789 439884 505052 586512 757578 879768 1010104 1136367 1515156 1759536 2020208 2272734 3030312 3409101 4545468 6060624 6818202 9090936 13636404 18181872 27272808 54545616