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85048641 = 32231372999
BaseRepresentation
bin1010001000110…
…11110101000001
312221000220210200
411010123311001
5133233024031
612234515413
72051621136
oct504336501
9187026720
1085048641
114400a337
1224595b69
131480a352
14b41c58d
1576ee8e6
hex511bd41

85048641 has 24 divisors (see below), whose sum is σ = 129168000. Its totient is φ = 53820096.

The previous prime is 85048609. The next prime is 85048657. The reversal of 85048641 is 14684058.

85048641 is a `hidden beast` number, since 8 + 5 + 0 + 4 + 8 + 641 = 666.

It is not a de Polignac number, because 85048641 - 25 = 85048609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85048596 and 85048605.

It is not an unprimeable number, because it can be changed into a prime (85048241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26860 + ... + 29858.

It is an arithmetic number, because the mean of its divisors is an integer number (5382000).

Almost surely, 285048641 is an apocalyptic number.

It is an amenable number.

85048641 is a deficient number, since it is larger than the sum of its proper divisors (44119359).

85048641 is a wasteful number, since it uses less digits than its factorization.

85048641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85048641 is about 9222.1820086138. The cubic root of 85048641 is about 439.7668203179.

The spelling of 85048641 in words is "eighty-five million, forty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 23 69 137 207 411 1233 2999 3151 8997 9453 26991 28359 68977 206931 410863 620793 1232589 3697767 9449849 28349547 85048641