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85026942 = 2337113132
BaseRepresentation
bin1010001000101…
…10100001111110
312220222211001000
411010112201332
5133231330232
612234231130
72051500650
oct504264176
9186884030
1085026942
1143aa5000
12245854a6
1314800500
14b4146d0
1576e827c
hex511687e

85026942 has 192 divisors, whose sum is σ = 257195520. Its totient is φ = 20386080.

The previous prime is 85026941. The next prime is 85026967. The reversal of 85026942 is 24962058.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85026897 and 85026906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85026941) 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 95 ways as a sum of consecutive naturals, for example, 6540528 + ... + 6540540.

It is an arithmetic number, because the mean of its divisors is an integer number (1339560).

Almost surely, 285026942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85026942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128597760).

85026942 is an abundant number, since it is smaller than the sum of its proper divisors (172168578).

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

85026942 is a wasteful number, since it uses less digits than its factorization.

85026942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85026942 is about 9221.0054766278. The cubic root of 85026942 is about 439.7294169693.

The spelling of 85026942 in words is "eighty-five million, twenty-six thousand, nine hundred forty-two".