Search a number
-
+
54541512 = 2334731153
BaseRepresentation
bin1101000000001…
…1110011001000
310210121222220000
43100003303020
5102430312022
65225003000
71231411104
oct320036310
9123558800
1054541512
1128872933
1216323460
13b3b85ac
14735a904
154bc56ac
hex3403cc8

54541512 has 80 divisors (see below), whose sum is σ = 154993740. Its totient is φ = 17915904.

The previous prime is 54541499. The next prime is 54541519. The reversal of 54541512 is 21514545.

It can be written as a sum of positive squares in 2 ways, for example, as 52620516 + 1920996 = 7254^2 + 1386^2 .

It is a super-2 number, since 2×545415122 = 5949553062492288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54541519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46728 + ... + 47880.

Almost surely, 254541512 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 54541512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77496870).

54541512 is an abundant number, since it is smaller than the sum of its proper divisors (100452228).

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

54541512 is a wasteful number, since it uses less digits than its factorization.

54541512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1231 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 54541512 is about 7385.2225423477. Note that the first 3 decimals coincide. The cubic root of 54541512 is about 379.2355638813.

The spelling of 54541512 in words is "fifty-four million, five hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 292 324 438 584 648 657 876 1153 1314 1752 1971 2306 2628 3459 3942 4612 5256 5913 6918 7884 9224 10377 11826 13836 15768 20754 23652 27672 31131 41508 47304 62262 83016 84169 93393 124524 168338 186786 249048 252507 336676 373572 505014 673352 747144 757521 1010028 1515042 2020056 2272563 3030084 4545126 6060168 6817689 9090252 13635378 18180504 27270756 54541512