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57850380 = 2232573937
BaseRepresentation
bin1101110010101…
…1101000001100
311000212002210200
43130223220030
5104302203010
65423533500
71301502000
oct334535014
9130762720
1057850380
112a722935
121745a290
13bca66c3
14797c700
15512acc0
hex372ba0c

57850380 has 144 divisors (see below), whose sum is σ = 204859200. Its totient is φ = 13208832.

The previous prime is 57850379. The next prime is 57850391. The reversal of 57850380 is 8305875.

It is a happy number.

57850380 is a `hidden beast` number, since 5 + 78 + 503 + 80 = 666.

57850380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×578503802 = 6693332932288800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 61272 + ... + 62208.

Almost surely, 257850380 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 57850380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102429600).

57850380 is an abundant number, since it is smaller than the sum of its proper divisors (147008820).

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

57850380 is a wasteful number, since it uses less digits than its factorization.

57850380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57850380 is about 7605.9437284271. The cubic root of 57850380 is about 386.7545265401.

The spelling of 57850380 in words is "fifty-seven million, eight hundred fifty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 937 980 1029 1260 1372 1470 1715 1764 1874 2058 2205 2811 2940 3087 3430 3748 4116 4410 4685 5145 5622 6174 6559 6860 8433 8820 9370 10290 11244 12348 13118 14055 15435 16866 18740 19677 20580 26236 28110 30870 32795 33732 39354 42165 45913 56220 59031 61740 65590 78708 84330 91826 98385 118062 131180 137739 168660 183652 196770 229565 236124 275478 295155 321391 393540 413217 459130 550956 590310 642782 688695 826434 918260 964173 1180620 1285564 1377390 1606955 1652868 1928346 2066085 2754780 2892519 3213910 3856692 4132170 4820865 5785038 6427820 8264340 9641730 11570076 14462595 19283460 28925190 57850380