Search a number
-
+
54538224 = 24313711231
BaseRepresentation
bin1101000000001…
…0111111110000
310210121211101020
43100002333300
5102430210344
65224535440
71231365366
oct320027760
9123554336
1054538224
1128870414
1216321580
13b3b6c50
147359636
154bc4719
hex3402ff0

54538224 has 80 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 16531200.

The previous prime is 54538223. The next prime is 54538229. The reversal of 54538224 is 42283545.

It is a Cunningham number, because it is equal to 73852-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54538223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43689 + ... + 44919.

Almost surely, 254538224 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 54538224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

54538224 is an abundant number, since it is smaller than the sum of its proper divisors (99451920).

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

54538224 is a wasteful number, since it uses less digits than its factorization.

54538224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 54538224 is about 7384.9999322952. Note that the first 4 decimals coincide. The cubic root of 54538224 is about 379.2279430707.

The spelling of 54538224 in words is "fifty-four million, five hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1231 1704 1846 2462 2769 3408 3692 3693 4924 5538 7384 7386 9848 11076 14768 14772 16003 19696 22152 29544 32006 44304 48009 59088 64012 87401 96018 128024 174802 192036 256048 262203 349604 384072 524406 699208 768144 1048812 1136213 1398416 2097624 2272426 3408639 4195248 4544852 6817278 9089704 13634556 18179408 27269112 54538224