Search a number
-
+
57285500040 = 23325307518327
BaseRepresentation
bin110101010110011110…
…110101110010001000
312110212022202220211200
4311112132311302020
51414310042000130
642152215024200
74065405500436
oct652636656210
9173768686750
1057285500040
112232719806a
12b12896b060
13552c2678b2
142ab6167d56
1517542a6760
hexd567b5c88

57285500040 has 96 divisors (see below), whose sum is σ = 186784678080. Its totient is φ = 15226344576.

The previous prime is 57285500029. The next prime is 57285500047. The reversal of 57285500040 is 4000558275.

It is a happy number.

57285500040 is a `hidden beast` number, since 5 + 72 + 85 + 500 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57285499968 and 57285500004.

It is not an unprimeable number, because it can be changed into a prime (57285500047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148644 + ... + 369683.

It is an arithmetic number, because the mean of its divisors is an integer number (1945673730).

Almost surely, 257285500040 is an apocalyptic number.

It is an amenable number.

57285500040 is an abundant number, since it is smaller than the sum of its proper divisors (129499178040).

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

57285500040 is a wasteful number, since it uses less digits than its factorization.

57285500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518651 (or 518644 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 57285500040 in words is "fifty-seven billion, two hundred eighty-five million, five hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 307 360 614 921 1228 1535 1842 2456 2763 3070 3684 4605 5526 6140 7368 9210 11052 12280 13815 18420 22104 27630 36840 55260 110520 518327 1036654 1554981 2073308 2591635 3109962 4146616 4664943 5183270 6219924 7774905 9329886 10366540 12439848 15549810 18659772 20733080 23324715 31099620 37319544 46649430 62199240 93298860 159126389 186597720 318252778 477379167 636505556 795631945 954758334 1273011112 1432137501 1591263890 1909516668 2386895835 2864275002 3182527780 3819033336 4773791670 5728550004 6365055560 7160687505 9547583340 11457100008 14321375010 19095166680 28642750020 57285500040