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57943040 = 210511317
BaseRepresentation
bin1101110100001…
…0010000000000
311001000210220112
43131002100000
5104313134130
65425530452
71302336101
oct335022000
9131023815
1057943040
112a786511
12174a3a28
13c00992c
1479a43a8
155148495
hex3742400

57943040 has 44 divisors (see below), whose sum is σ = 139007676. Its totient is φ = 23175168.

The previous prime is 57943037. The next prime is 57943069. The reversal of 57943040 is 4034975.

It can be written as a sum of positive squares in 2 ways, for example, as 42198016 + 15745024 = 6496^2 + 3968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 57942988 and 57943006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539 + ... + 10778.

Almost surely, 257943040 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 57943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69503838).

57943040 is an abundant number, since it is smaller than the sum of its proper divisors (81064636).

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

57943040 is a wasteful number, since it uses less digits than its factorization.

57943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 57943040 is about 7612.0325800669. The cubic root of 57943040 is about 386.9609069650.

The spelling of 57943040 in words is "fifty-seven million, nine hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 11317 22634 45268 56585 90536 113170 181072 226340 362144 452680 724288 905360 1448576 1810720 2897152 3621440 5794304 7242880 11588608 14485760 28971520 57943040