Search a number
-
+
54544128 = 283293179
BaseRepresentation
bin1101000000010…
…0011100000000
310210122010110220
43100010130000
5102430403003
65225023040
71231421532
oct320043400
9123563426
1054544128
11288748a1
1216324a80
13b3b9842
14735b852
154bc6353
hex3404700

54544128 has 144 divisors (see below), whose sum is σ = 156979200. Its totient is φ = 16773120.

The previous prime is 54544123. The next prime is 54544129. The reversal of 54544128 is 82144545.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54544123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690393 + ... + 690471.

Almost surely, 254544128 is an apocalyptic number.

54544128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78489600).

54544128 is an abundant number, since it is smaller than the sum of its proper divisors (102435072).

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

54544128 is a wasteful number, since it uses less digits than its factorization.

54544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 54544128 is about 7385.3996506621. The cubic root of 54544128 is about 379.2416269351.

The spelling of 54544128 in words is "fifty-four million, five hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 79 87 93 96 116 124 128 158 174 186 192 232 237 248 256 316 348 372 384 464 474 496 632 696 744 768 899 928 948 992 1264 1392 1488 1798 1856 1896 1984 2291 2449 2528 2697 2784 2976 3596 3712 3792 3968 4582 4898 5056 5394 5568 5952 6873 7192 7347 7424 7584 7936 9164 9796 10112 10788 11136 11904 13746 14384 14694 15168 18328 19592 20224 21576 22272 23808 27492 28768 29388 30336 36656 39184 43152 54984 57536 58776 60672 71021 73312 78368 86304 109968 115072 117552 142042 146624 156736 172608 213063 219936 230144 235104 284084 293248 313472 345216 426126 439872 470208 568168 586496 626944 690432 852252 879744 940416 1136336 1704504 1759488 1880832 2272672 3409008 4545344 6818016 9090688 13636032 18181376 27272064 54544128