Search a number
-
+
54535104 = 2632137283
BaseRepresentation
bin1101000000001…
…0001111000000
310210121200002200
43100002033000
5102430110404
65224513200
71231353321
oct320021700
9123550080
1054535104
1128869038
121631b800
13b3b56c0
147358448
154bc3839
hex34023c0

54535104 has 84 divisors (see below), whose sum is σ = 168362376. Its totient is φ = 16777728.

The previous prime is 54535097. The next prime is 54535141. The reversal of 54535104 is 40153545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3847 + ... + 11129.

It is an arithmetic number, because the mean of its divisors is an integer number (2004314).

Almost surely, 254535104 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 54535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84181188).

54535104 is an abundant number, since it is smaller than the sum of its proper divisors (113827272).

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

54535104 is a wasteful number, since it uses less digits than its factorization.

54535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 54535104 is about 7384.7886902741. The cubic root of 54535104 is about 379.2207113614.

Adding to 54535104 its reverse (40153545), we get a palindrome (94688649).

The spelling of 54535104 in words is "fifty-four million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7283 7488 14566 21849 29132 43698 58264 65547 87396 94679 116528 131094 174792 189358 233056 262188 284037 349584 378716 466112 524376 568074 699168 757432 852111 1048752 1136148 1398336 1514864 1704222 2097504 2272296 3029728 3408444 4195008 4544592 6059456 6816888 9089184 13633776 18178368 27267552 54535104