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54010944 = 2632137213
BaseRepresentation
bin1100111000001…
…0010001000000
310202122001002100
43032002101000
5102311322234
65205350400
71224041211
oct316022100
9122561070
1054010944
1128540249
1216108400
13b260c50
14725d408
154b1d399
hex3382440

54010944 has 84 divisors (see below), whose sum is σ = 166744396. Its totient is φ = 16616448.

The previous prime is 54010937. The next prime is 54010961. The reversal of 54010944 is 44901045.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 27878400 = 5112^2 + 5280^2 .

It is a super-2 number, since 2×540109442 = 5834364143542272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3882 + ... + 11094.

Almost surely, 254010944 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 54010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83372198).

54010944 is an abundant number, since it is smaller than the sum of its proper divisors (112733452).

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

54010944 is a wasteful number, since it uses less digits than its factorization.

54010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54010944 is about 7349.2138355065. The cubic root of 54010944 is about 378.0018476436.

Adding to 54010944 its reverse (44901045), we get a palindrome (98911989).

The spelling of 54010944 in words is "fifty-four million, ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7213 7488 14426 21639 28852 43278 57704 64917 86556 93769 115408 129834 173112 187538 230816 259668 281307 346224 375076 461632 519336 562614 692448 750152 843921 1038672 1125228 1384896 1500304 1687842 2077344 2250456 3000608 3375684 4154688 4500912 6001216 6751368 9001824 13502736 18003648 27005472 54010944