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85424976 = 24337134153
BaseRepresentation
bin1010001011101…
…11101101010000
312221202001001000
411011313231100
5133332044401
612250542000
72055046260
oct505675520
9187661030
1085424976
114424705a
1224737900
131490c730
14b4b97a0
157776186
hex5177b50

85424976 has 320 divisors, whose sum is σ = 314979840. Its totient is φ = 21565440.

The previous prime is 85424957. The next prime is 85424987. The reversal of 85424976 is 67942458.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611766 + ... + 1611818.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 285424976 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 85424976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

85424976 is an abundant number, since it is smaller than the sum of its proper divisors (229554864).

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

85424976 is a wasteful number, since it uses less digits than its factorization.

85424976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 85424976 is about 9242.5632808220. The cubic root of 85424976 is about 440.4145129564.

The spelling of 85424976 in words is "eighty-five million, four hundred twenty-four thousand, nine hundred seventy-six".