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2083585041 = 32552741887
BaseRepresentation
bin111110000110000…
…1111110000010001
312101012122002100100
41330030033300101
513231344210131
6542430243013
7102430115646
oct17414176021
95335562310
102083585041
1197a14730a
124a1956469
13272891475
1415aa15dcd
15c2dc37e6
hex7c30fc11

2083585041 has 12 divisors (see below), whose sum is σ = 3010239232. Its totient is φ = 1388772216.

The previous prime is 2083585039. The next prime is 2083585061. The reversal of 2083585041 is 1405853802.

It is a happy number.

2083585041 is a `hidden beast` number, since 20 + 83 + 58 + 504 + 1 = 666.

It is not a de Polignac number, because 2083585041 - 21 = 2083585039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2083584987 and 2083585005.

It is not an unprimeable number, because it can be changed into a prime (2083585001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28800 + ... + 70686.

Almost surely, 22083585041 is an apocalyptic number.

It is an amenable number.

2083585041 is a deficient number, since it is larger than the sum of its proper divisors (926654191).

2083585041 is a wasteful number, since it uses less digits than its factorization.

2083585041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47420 (or 47417 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2083585041 is about 45646.3036948229. The cubic root of 2083585041 is about 1277.2338215070.

The spelling of 2083585041 in words is "two billion, eighty-three million, five hundred eighty-five thousand, forty-one".

Divisors: 1 3 9 5527 16581 41887 49743 125661 376983 231509449 694528347 2083585041