Search a number
-
+
57371016 = 2332337532
BaseRepresentation
bin1101101011011…
…0100110001000
310222221202020110
43122312212020
5104141333031
65405354320
71264434303
oct332664610
9128852213
1057371016
112a42576a
12172689a0
13bb69461
147895b3a
155083c46
hex36b6988

57371016 has 96 divisors (see below), whose sum is σ = 156663360. Its totient is φ = 17462016.

The previous prime is 57371009. The next prime is 57371023. The reversal of 57371016 is 61017375.

57371016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57371009) and next prime (57371023).

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 23 ways as a sum of consecutive naturals, for example, 1082446 + ... + 1082498.

It is an arithmetic number, because the mean of its divisors is an integer number (1631910).

Almost surely, 257371016 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 57371016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78331680).

57371016 is an abundant number, since it is smaller than the sum of its proper divisors (99292344).

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

57371016 is a wasteful number, since it uses less digits than its factorization.

57371016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 57371016 is about 7574.3657160187. The cubic root of 57371016 is about 385.6833111713.

The spelling of 57371016 in words is "fifty-seven million, three hundred seventy-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 53 69 74 92 106 111 138 148 159 184 212 222 276 296 318 424 444 552 636 851 888 1219 1272 1702 1961 2438 2553 2809 3404 3657 3922 4876 5106 5618 5883 6808 7314 7844 8427 9752 10212 11236 11766 14628 15688 16854 20424 22472 23532 29256 33708 45103 47064 64607 67416 90206 103933 129214 135309 180412 193821 207866 258428 270618 311799 360824 387642 415732 516856 541236 623598 775284 831464 1082472 1247196 1550568 2390459 2494392 4780918 7171377 9561836 14342754 19123672 28685508 57371016