Search a number
-
+
57853286448 = 24329257161717
BaseRepresentation
bin110101111000010100…
…110001100000110000
312112022220011110100220
4311320110301200300
51421440420131243
642324420413040
74115441551416
oct657024614060
9175286143326
1057853286448
1122598743431
12b266b47180
1355bca94a99
142b2b7272b6
15178905e783
hexd78531830

57853286448 has 80 divisors (see below), whose sum is σ = 155210467680. Its totient is φ = 18546884608.

The previous prime is 57853286437. The next prime is 57853286459. The reversal of 57853286448 is 84468235875.

It is an interprime number because it is at equal distance from previous prime (57853286437) and next prime (57853286459).

It is a junction number, because it is equal to n+sod(n) for n = 57853286391 and 57853286400.

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, 276886 + ... + 438602.

It is an arithmetic number, because the mean of its divisors is an integer number (1940130846).

Almost surely, 257853286448 is an apocalyptic number.

57853286448 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57853286448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77605233840).

57853286448 is an abundant number, since it is smaller than the sum of its proper divisors (97357181232).

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

57853286448 is a wasteful number, since it uses less digits than its factorization.

57853286448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162014 (or 162008 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 60.

The spelling of 57853286448 in words is "fifty-seven billion, eight hundred fifty-three million, two hundred eighty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 257 348 464 514 696 771 1028 1392 1542 2056 3084 4112 6168 7453 12336 14906 22359 29812 44718 59624 89436 119248 161717 178872 323434 357744 485151 646868 970302 1293736 1940604 2587472 3881208 4689793 7762416 9379586 14069379 18759172 28138758 37518344 41561269 56277516 75036688 83122538 112555032 124683807 166245076 225110064 249367614 332490152 498735228 664980304 997470456 1205276801 1994940912 2410553602 3615830403 4821107204 7231660806 9642214408 14463321612 19284428816 28926643224 57853286448