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2540585475 = 3252195311213
BaseRepresentation
bin1001011101101110…
…0100001000000011
320120001120010002100
42113123210020003
520200342213400
61100033321443
7116646422511
oct22733441003
96501503070
102540585475
11109410451a
125aaa06283
1331646c61c
141a15b74b1
15ed096100
hex976e4203

2540585475 has 72 divisors (see below), whose sum is σ = 4880781360. Its totient is φ = 1259331840.

The previous prime is 2540585471. The next prime is 2540585479. The reversal of 2540585475 is 5745850452.

2540585475 is a `hidden beast` number, since 2 + 54 + 0 + 58 + 547 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2540585471) and next prime (2540585479).

It is not a de Polignac number, because 2540585475 - 22 = 2540585471 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2540585475.

It is not an unprimeable number, because it can be changed into a prime (2540585471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220969 + ... + 232181.

It is an arithmetic number, because the mean of its divisors is an integer number (67788630).

Almost surely, 22540585475 is an apocalyptic number.

2540585475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2540585475 is a deficient number, since it is larger than the sum of its proper divisors (2340195885).

2540585475 is a wasteful number, since it uses less digits than its factorization.

2540585475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The square root of 2540585475 is about 50404.2208054048. The cubic root of 2540585475 is about 1364.5138146949.

The spelling of 2540585475 in words is "two billion, five hundred forty million, five hundred eighty-five thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 53 57 75 95 159 171 225 265 285 475 477 795 855 1007 1325 1425 2385 3021 3975 4275 5035 9063 11213 11925 15105 25175 33639 45315 56065 75525 100917 168195 213047 226575 280325 504585 594289 639141 840975 1065235 1782867 1917423 2522925 2971445 3195705 5326175 5348601 8914335 9587115 11291491 14857225 15978525 26743005 33874473 44571675 47935575 56457455 101623419 133715025 169372365 282287275 508117095 846861825 2540585475