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54517056 = 2631183311
BaseRepresentation
bin1100111111110…
…1110101000000
310210120202100020
43033331311000
5102424021211
65224253440
71231246566
oct317756500
9123522306
1054517056
1128856520
1216311280
13b3aa419
147351a36
154bbd306
hex33fdd40

54517056 has 112 divisors (see below), whose sum is σ = 159763968. Its totient is φ = 16268800.

The previous prime is 54517037. The next prime is 54517063. The reversal of 54517056 is 65071545.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175141 + ... + 175451.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 254517056 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 54517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

54517056 is an abundant number, since it is smaller than the sum of its proper divisors (105246912).

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

54517056 is a wasteful number, since it uses less digits than its factorization.

54517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 54517056 is about 7383.5666178345. The cubic root of 54517056 is about 379.1788732911.

The spelling of 54517056 in words is "fifty-four million, five hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 311 332 352 498 528 622 664 704 913 933 996 1056 1244 1328 1826 1866 1992 2112 2488 2656 2739 3421 3652 3732 3984 4976 5312 5478 6842 7304 7464 7968 9952 10263 10956 13684 14608 14928 15936 19904 20526 21912 25813 27368 29216 29856 41052 43824 51626 54736 58432 59712 77439 82104 87648 103252 109472 154878 164208 175296 206504 218944 283943 309756 328416 413008 567886 619512 656832 826016 851829 1135772 1239024 1652032 1703658 2271544 2478048 3407316 4543088 4956096 6814632 9086176 13629264 18172352 27258528 54517056