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85473696 = 25371131373
BaseRepresentation
bin1010001100000…
…11100110100000
312221211111212110
411012003212200
5133340124241
612251555320
72055341310
oct506034640
9187744773
1085473696
114427a720
122475bb40
1314928969
14b4cd440
157785816
hex51839a0

85473696 has 192 divisors, whose sum is σ = 289529856. Its totient is φ = 21427200.

The previous prime is 85473691. The next prime is 85473719. The reversal of 85473696 is 69637458.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85473691) 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, 228966 + ... + 229338.

It is an arithmetic number, because the mean of its divisors is an integer number (1507968).

Almost surely, 285473696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85473696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144764928).

85473696 is an abundant number, since it is smaller than the sum of its proper divisors (204056160).

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

85473696 is a wasteful number, since it uses less digits than its factorization.

85473696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 85473696 is about 9245.1985376194. The cubic root of 85473696 is about 440.4982235143.

The spelling of 85473696 in words is "eighty-five million, four hundred seventy-three thousand, six hundred ninety-six".