Search a number
-
+
38933640585 = 3257711740829
BaseRepresentation
bin100100010000101000…
…000011010110001001
310201111100111212101100
4210100220003112021
51114214002444320
625515203012013
72545545325140
oct442050032611
9121440455340
1038933640585
111556a030474
12766696a009
13389617c968
141c54b08757
15102d098790
hex910a03589

38933640585 has 48 divisors (see below), whose sum is σ = 78212010240. Its totient is φ = 17547546240.

The previous prime is 38933640569. The next prime is 38933640587. The reversal of 38933640585 is 58504633983.

It is a happy number.

It is not a de Polignac number, because 38933640585 - 24 = 38933640569 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38933640587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848050 + ... + 892779.

It is an arithmetic number, because the mean of its divisors is an integer number (1629416880).

Almost surely, 238933640585 is an apocalyptic number.

38933640585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38933640585 is an abundant number, since it is smaller than the sum of its proper divisors (39278369655).

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

38933640585 is a wasteful number, since it uses less digits than its factorization.

38933640585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740918 (or 1740915 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 38933640585 in words is "thirty-eight billion, nine hundred thirty-three million, six hundred forty thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 1065 1491 2485 3195 4473 7455 22365 1740829 5222487 8704145 12185803 15667461 26112435 36557409 60929015 78337305 109672227 123598859 182787045 370796577 548361135 617994295 865192013 1112389731 1853982885 2595576039 4325960065 5561948655 7786728117 12977880195 38933640585