Search a number
-
+
54260928 = 26361163
BaseRepresentation
bin1100111011111…
…1010011000000
310210002202000000
43032333103000
5102342322203
65215000000
71226132061
oct316772300
9123082000
1054260928
11286a1047
1216209000
13b31a977
1472c6568
154b6c4a3
hex33bf4c0

54260928 has 98 divisors (see below), whose sum is σ = 161576004. Its totient is φ = 18071424.

The previous prime is 54260893. The next prime is 54260939. The reversal of 54260928 is 82906245.

It is a happy number.

54260928 is a `hidden beast` number, since 5 + 42 + 609 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54260892 and 54260901.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46075 + ... + 47237.

Almost surely, 254260928 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 54260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80788002).

54260928 is an abundant number, since it is smaller than the sum of its proper divisors (107315076).

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

54260928 is an equidigital number, since it uses as much as digits as its factorization.

54260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54260928 is about 7366.2017349513. The cubic root of 54260928 is about 378.5841308796.

The spelling of 54260928 in words is "fifty-four million, two hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1163 1296 1458 1728 1944 2326 2592 2916 3489 3888 4652 5184 5832 6978 7776 9304 10467 11664 13956 15552 18608 20934 23328 27912 31401 37216 41868 46656 55824 62802 74432 83736 94203 111648 125604 167472 188406 223296 251208 282609 334944 376812 502416 565218 669888 753624 847827 1004832 1130436 1507248 1695654 2009664 2260872 3014496 3391308 4521744 6028992 6782616 9043488 13565232 18086976 27130464 54260928