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85106424 = 23313272777
BaseRepresentation
bin1010001001010…
…01111011111000
312221010212001210
411010221323320
5133241401144
612240043120
72052251454
oct504517370
9187125053
1085106424
1144049797
12246034a0
131482a740
14b435664
157711ab9
hex5129ef8

85106424 has 32 divisors (see below), whose sum is σ = 229133520. Its totient is φ = 26186496.

The previous prime is 85106363. The next prime is 85106429. The reversal of 85106424 is 42460158.

It is a junction number, because it is equal to n+sod(n) for n = 85106391 and 85106400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85106429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136077 + ... + 136700.

Almost surely, 285106424 is an apocalyptic number.

It is an amenable number.

85106424 is an abundant number, since it is smaller than the sum of its proper divisors (144027096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85106424 is a wasteful number, since it uses less digits than its factorization.

85106424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272799 (or 272795 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85106424 is about 9225.3143035888. The cubic root of 85106424 is about 439.8663919403.

The spelling of 85106424 in words is "eighty-five million, one hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 272777 545554 818331 1091108 1636662 2182216 3273324 3546101 6546648 7092202 10638303 14184404 21276606 28368808 42553212 85106424