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85820949 = 329535661
BaseRepresentation
bin1010001110110…
…00011000010101
312222111011012200
411013120120111
5133432232244
612303235113
72061315564
oct507303025
9188434180
1085820949
1144497605
12248a8a99
1314a1aa36
14b57dbdb
157803669
hex51d8615

85820949 has 6 divisors (see below), whose sum is σ = 123963606. Its totient is φ = 57213960.

The previous prime is 85820941. The next prime is 85820951. The reversal of 85820949 is 94902858.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 15563025 = 8382^2 + 3945^2 .

It is not a de Polignac number, because 85820949 - 23 = 85820941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85820941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4767822 + ... + 4767839.

It is an arithmetic number, because the mean of its divisors is an integer number (20660601).

Almost surely, 285820949 is an apocalyptic number.

It is an amenable number.

85820949 is a deficient number, since it is larger than the sum of its proper divisors (38142657).

85820949 is a wasteful number, since it uses less digits than its factorization.

85820949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535667 (or 9535664 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 85820949 is about 9263.9596825548. The cubic root of 85820949 is about 441.0939531724.

The spelling of 85820949 in words is "eighty-five million, eight hundred twenty thousand, nine hundred forty-nine".

Divisors: 1 3 9 9535661 28606983 85820949