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54241488 = 243571993
BaseRepresentation
bin1100111011101…
…0100011010000
310210001202100000
43032322203100
5102341211423
65214330000
71226021310
oct316724320
9123052300
1054241488
1128688484
12161b9900
13b311b72
1472bd440
154b66843
hex33ba8d0

54241488 has 120 divisors (see below), whose sum is σ = 180002368. Its totient is φ = 15489792.

The previous prime is 54241487. The next prime is 54241489. The reversal of 54241488 is 88414245.

54241488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54241487) and next prime (54241489).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54241487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26220 + ... + 28212.

Almost surely, 254241488 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 54241488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90001184).

54241488 is an abundant number, since it is smaller than the sum of its proper divisors (125760880).

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

54241488 is a wasteful number, since it uses less digits than its factorization.

54241488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2005 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 54241488 is about 7364.8820764490. The cubic root of 54241488 is about 378.5389138462.

The spelling of 54241488 in words is "fifty-four million, two hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 1993 2268 3024 3402 3888 3986 4536 5979 6804 7972 9072 11958 13608 13951 15944 17937 23916 27216 27902 31888 35874 41853 47832 53811 55804 71748 83706 95664 107622 111608 125559 143496 161433 167412 215244 223216 251118 286992 322866 334824 376677 430488 484299 502236 645732 669648 753354 860976 968598 1004472 1130031 1291464 1506708 1937196 2008944 2260062 2582928 3013416 3390093 3874392 4520124 6026832 6780186 7748784 9040248 13560372 18080496 27120744 54241488