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54061644 = 223713311597
BaseRepresentation
bin1100111000111…
…0101001001100
310202201121122010
43032032221030
5102314433034
65210421220
71224342060
oct316165114
9122647563
1054061644
112857534a
1216131810
13b27b050
147273aa0
154b2d3e9
hex338ea4c

54061644 has 96 divisors (see below), whose sum is σ = 160362496. Its totient is φ = 13789440.

The previous prime is 54061619. The next prime is 54061663. The reversal of 54061644 is 44616045.

54061644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×540616443 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33054 + ... + 34650.

Almost surely, 254061644 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 54061644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80181248).

54061644 is an abundant number, since it is smaller than the sum of its proper divisors (106300852).

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

54061644 is a wasteful number, since it uses less digits than its factorization.

54061644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54061644 is about 7352.6623749496. The cubic root of 54061644 is about 378.1200872617.

Adding to 54061644 its reverse (44616045), we get a palindrome (98677689).

The spelling of 54061644 in words is "fifty-four million, sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1597 1612 2418 2604 2821 3194 4791 4836 5642 6388 8463 9582 11179 11284 16926 19164 20761 22358 33537 33852 41522 44716 49507 62283 67074 83044 99014 124566 134148 145327 148521 198028 249132 290654 297042 346549 435981 581308 594084 643591 693098 871962 1039647 1287182 1386196 1743924 1930773 2079294 2574364 3861546 4158588 4505137 7723092 9010274 13515411 18020548 27030822 54061644