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57688848 = 243476359
BaseRepresentation
bin1101110000010…
…0001100010000
311000112220020000
43130010030100
5104232020343
65420250000
71300230030
oct334041420
9130486200
1057688848
112a622538
12173a0900
13bc4b019
1479398c0
1550e7ed3
hex3704310

57688848 has 100 divisors (see below), whose sum is σ = 190850880. Its totient is φ = 16479936.

The previous prime is 57688847. The next prime is 57688879. The reversal of 57688848 is 84888675.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57688794 and 57688803.

It is not an unprimeable number, because it can be changed into a prime (57688847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5893 + ... + 12251.

Almost surely, 257688848 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 57688848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95425440).

57688848 is an abundant number, since it is smaller than the sum of its proper divisors (133162032).

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

57688848 is a wasteful number, since it uses less digits than its factorization.

57688848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6371 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 57688848 is about 7595.3175048842. The cubic root of 57688848 is about 386.3942208155.

The spelling of 57688848 in words is "fifty-seven million, six hundred eighty-eight thousand, eight hundred forty-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 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 6359 9072 12718 19077 25436 38154 44513 50872 57231 76308 89026 101744 114462 133539 152616 171693 178052 228924 267078 305232 343386 356104 400617 457848 515079 534156 686772 712208 801234 915696 1030158 1068312 1201851 1373544 1602468 2060316 2136624 2403702 2747088 3204936 3605553 4120632 4807404 6409872 7211106 8241264 9614808 14422212 19229616 28844424 57688848