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57390848 = 28377383
BaseRepresentation
bin1101101011101…
…1011100000000
310222222202102222
43122323130000
5104143001343
65410030212
71264546154
oct332733400
9128882388
1057390848
112a439659
1217278368
13bb754a8
14789d064
155089a68
hex36bb700

57390848 has 72 divisors (see below), whose sum is σ = 120702288. Its totient is φ = 27205632.

The previous prime is 57390829. The next prime is 57390859. The reversal of 57390848 is 84809375.

57390848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57390799 and 57390808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691415 + ... + 691497.

Almost surely, 257390848 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 57390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60351144).

57390848 is an abundant number, since it is smaller than the sum of its proper divisors (63311440).

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

57390848 is an equidigital number, since it uses as much as digits as its factorization.

57390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 57390848 is about 7575.6747554261. The cubic root of 57390848 is about 385.7277470251.

The spelling of 57390848 in words is "fifty-seven million, three hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 73 74 83 128 146 148 166 256 292 296 332 584 592 664 1168 1184 1328 2336 2368 2656 2701 3071 4672 4736 5312 5402 6059 6142 9344 9472 10624 10804 12118 12284 18688 21248 21608 24236 24568 43216 48472 49136 86432 96944 98272 172864 193888 196544 224183 345728 387776 393088 448366 691456 775552 786176 896732 1551104 1793464 3586928 7173856 14347712 28695424 57390848