Search a number
-
+
54025728 = 293172069
BaseRepresentation
bin1100111000010…
…1111000000000
310202122210100220
43032011320000
5102312310403
65205543040
71224132261
oct316057000
9122583326
1054025728
1128550369
1216114a80
13b2678b3
147264968
154b22953
hex3385e00

54025728 has 80 divisors (see below), whose sum is σ = 152467920. Its totient is φ = 16941056.

The previous prime is 54025717. The next prime is 54025729. The reversal of 54025728 is 82752045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54025729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25078 + ... + 27146.

It is an arithmetic number, because the mean of its divisors is an integer number (1905849).

Almost surely, 254025728 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 54025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76233960).

54025728 is an abundant number, since it is smaller than the sum of its proper divisors (98442192).

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

54025728 is a wasteful number, since it uses less digits than its factorization.

54025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54025728 is about 7350.2195885565. The cubic root of 54025728 is about 378.0363336761.

The spelling of 54025728 in words is "fifty-four million, twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2069 2176 3264 4138 4352 6207 6528 8276 8704 12414 13056 16552 24828 26112 33104 35173 49656 66208 70346 99312 105519 132416 140692 198624 211038 264832 281384 397248 422076 529664 562768 794496 844152 1059328 1125536 1588992 1688304 2251072 3177984 3376608 4502144 6753216 9004288 13506432 18008576 27012864 54025728