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57643780 = 22537611277
BaseRepresentation
bin1101101111100…
…1001100000100
311000110121101211
43123321030010
5104224100110
65415301204
71266651445
oct333711404
9130417354
1057643780
112a5a1697
121737a804
13bc3365c
1479272cc
1550d998a
hex36f9304

57643780 has 48 divisors (see below), whose sum is σ = 126460656. Its totient is φ = 22049280.

The previous prime is 57643771. The next prime is 57643783. The reversal of 57643780 is 8734675.

57643780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 248004 + 57395776 = 498^2 + 7576^2 .

It is not an unprimeable number, because it can be changed into a prime (57643783) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44502 + ... + 45778.

It is an arithmetic number, because the mean of its divisors is an integer number (2634597).

Almost surely, 257643780 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 57643780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63230328).

57643780 is an abundant number, since it is smaller than the sum of its proper divisors (68816876).

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

57643780 is a wasteful number, since it uses less digits than its factorization.

57643780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 57643780 is about 7592.3500973019. The cubic root of 57643780 is about 386.2935742604.

The spelling of 57643780 in words is "fifty-seven million, six hundred forty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 1277 2257 2554 4514 5108 6385 9028 11285 12770 22570 25540 45140 47249 77897 94498 155794 188996 236245 311588 389485 472490 778970 944980 1557940 2882189 5764378 11528756 14410945 28821890 57643780