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54833328 = 24331121049
BaseRepresentation
bin1101000100101…
…1000010110000
310211011211012000
43101023002300
5103014131303
65235134000
71234034634
oct321130260
9124154160
1054833328
1128a52100
1216444300
13b48b374
1473d4dc4
154c31da3
hex344b0b0

54833328 has 120 divisors (see below), whose sum is σ = 173166000. Its totient is φ = 16600320.

The previous prime is 54833309. The next prime is 54833377. The reversal of 54833328 is 82333845.

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

It is a junction number, because it is equal to n+sod(n) for n = 54833292 and 54833301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51748 + ... + 52796.

It is an arithmetic number, because the mean of its divisors is an integer number (1443050).

Almost surely, 254833328 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 54833328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86583000).

54833328 is an abundant number, since it is smaller than the sum of its proper divisors (118332672).

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

54833328 is a wasteful number, since it uses less digits than its factorization.

54833328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1065 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 54833328 is about 7404.9529370550. The cubic root of 54833328 is about 379.9107084753.

The spelling of 54833328 in words is "fifty-four million, eight hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1049 1089 1188 1452 1584 1936 2098 2178 2376 2904 3147 3267 4196 4356 4752 5808 6294 6534 8392 8712 9441 11539 12588 13068 16784 17424 18882 23078 25176 26136 28323 34617 37764 46156 50352 52272 56646 69234 75528 92312 103851 113292 126929 138468 151056 184624 207702 226584 253858 276936 311553 380787 415404 453168 507716 553872 623106 761574 830808 1015432 1142361 1246212 1523148 1661616 2030864 2284722 2492424 3046296 3427083 4569444 4984848 6092592 6854166 9138888 13708332 18277776 27416664 54833328