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85272096 = 25371343227
BaseRepresentation
bin1010001010100…
…10011000100000
312221110021022210
411011102120200
5133312201341
612243402120
72053541460
oct505223040
9187407283
1085272096
1144152208
1224683340
1314887c80
14b479ba0
157745c16
hex5152620

85272096 has 192 divisors, whose sum is σ = 283143168. Its totient is φ = 21869568.

The previous prime is 85272091. The next prime is 85272101. The reversal of 85272096 is 69027258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85272091) and next prime (85272101).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (85272091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375535 + ... + 375761.

It is an arithmetic number, because the mean of its divisors is an integer number (1474704).

Almost surely, 285272096 is an apocalyptic number.

85272096 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141571584).

85272096 is an abundant number, since it is smaller than the sum of its proper divisors (197871072).

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

85272096 is a wasteful number, since it uses less digits than its factorization.

85272096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 85272096 is about 9234.2891442709. The cubic root of 85272096 is about 440.1516281823.

The spelling of 85272096 in words is "eighty-five million, two hundred seventy-two thousand, ninety-six".