Search a number
-
+
2585330397 = 321328320479
BaseRepresentation
bin1001101000011001…
…0000001011011101
320200011202101120200
42122012100023131
520243321033042
61104312334113
7121031642256
oct23206201335
96604671520
102585330397
111107395aa1
126019a4339
13322807b00
141a7503b2d
15101e83c4c
hex9a1902dd

2585330397 has 36 divisors (see below), whose sum is σ = 4092641280. Its totient is φ = 1571727456.

The previous prime is 2585330393. The next prime is 2585330413. The reversal of 2585330397 is 7930335852.

2585330397 is a `hidden beast` number, since 2 + 585 + 3 + 30 + 39 + 7 = 666.

It is not a de Polignac number, because 2585330397 - 22 = 2585330393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585330393) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116004 + ... + 136482.

It is an arithmetic number, because the mean of its divisors is an integer number (113684480).

Almost surely, 22585330397 is an apocalyptic number.

It is an amenable number.

2585330397 is a deficient number, since it is larger than the sum of its proper divisors (1507310883).

2585330397 is a wasteful number, since it uses less digits than its factorization.

2585330397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20594 (or 20578 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2585330397 is about 50846.1443671002. The cubic root of 2585330397 is about 1372.4778707850.

The spelling of 2585330397 in words is "two billion, five hundred eighty-five million, three hundred thirty thousand, three hundred ninety-seven".

Divisors: 1 3 9 13 39 83 117 169 249 507 747 1079 1521 3237 9711 14027 20479 42081 61437 126243 184311 266227 798681 1699757 2396043 3460951 5099271 10382853 15297813 22096841 31148559 66290523 198871569 287258933 861776799 2585330397