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36672041 = 726112269
BaseRepresentation
bin1000101111100…
…1001000101001
32120000010120202
42023321020221
533342001131
63350001545
7623464400
oct213711051
976003522
1036672041
111977827a
12103462b5
13779cb43
144c28637
153345bcb
hex22f9229

36672041 has 12 divisors (see below), whose sum is σ = 43362180. Its totient is φ = 30915360.

The previous prime is 36672007. The next prime is 36672059. The reversal of 36672041 is 14027663.

It can be written as a sum of positive squares in 2 ways, for example, as 17347225 + 19324816 = 4165^2 + 4396^2 .

It is not a de Polignac number, because 36672041 - 210 = 36671017 is a prime.

It is a super-2 number, since 2×366720412 = 2689677182211362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36671995 and 36672013.

It is not an unprimeable number, because it can be changed into a prime (36672091) 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, 3146 + ... + 9123.

It is an arithmetic number, because the mean of its divisors is an integer number (3613515).

Almost surely, 236672041 is an apocalyptic number.

It is an amenable number.

36672041 is a deficient number, since it is larger than the sum of its proper divisors (6690139).

36672041 is a wasteful number, since it uses less digits than its factorization.

36672041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12344 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 36672041 is about 6055.7444629046. The cubic root of 36672041 is about 332.2347284017.

The spelling of 36672041 in words is "thirty-six million, six hundred seventy-two thousand, forty-one".

Divisors: 1 7 49 61 427 2989 12269 85883 601181 748409 5238863 36672041