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85607381 = 374095657
BaseRepresentation
bin1010001101001…
…00001111010101
312222002022020202
411012210033111
5133403414011
612254510245
72056436126
oct506441725
9188068222
1085607381
1144361102
1224805385
1314974772
14b52604d
1577b023b
hex51a43d5

85607381 has 8 divisors (see below), whose sum is σ = 88151640. Its totient is φ = 83075328.

The previous prime is 85607371. The next prime is 85607411. The reversal of 85607381 is 18370658.

It can be written as a sum of positive squares in 4 ways, for example, as 29866225 + 55741156 = 5465^2 + 7466^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85607381 - 218 = 85345237 is a prime.

It is a super-2 number, since 2×856073812 = 14657247363358322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85607341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12305 + ... + 17961.

It is an arithmetic number, because the mean of its divisors is an integer number (11018955).

Almost surely, 285607381 is an apocalyptic number.

It is an amenable number.

85607381 is a deficient number, since it is larger than the sum of its proper divisors (2544259).

85607381 is a wasteful number, since it uses less digits than its factorization.

85607381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 85607381 is about 9252.4256819496. The cubic root of 85607381 is about 440.7277574068.

The spelling of 85607381 in words is "eighty-five million, six hundred seven thousand, three hundred eighty-one".

Divisors: 1 37 409 5657 15133 209309 2313713 85607381