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85080464 = 247337419
BaseRepresentation
bin1010001001000…
…11100110010000
312221002112110022
411010203212100
5133240033324
612235323012
72052113000
oct504434620
9187075408
1085080464
1144031237
12245b0468
131481b991
14b42a000
15770905e
hex5123990

85080464 has 80 divisors (see below), whose sum is σ = 197904000. Its totient is φ = 35392896.

The previous prime is 85080451. The next prime is 85080467. The reversal of 85080464 is 46408058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85080467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202847 + ... + 203265.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 285080464 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 85080464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952000).

85080464 is an abundant number, since it is smaller than the sum of its proper divisors (112823536).

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

85080464 is a wasteful number, since it uses less digits than its factorization.

85080464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 85080464 is about 9223.9071981455. The cubic root of 85080464 is about 439.8216632652.

The spelling of 85080464 in words is "eighty-five million, eighty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 343 392 419 518 592 686 784 838 1036 1372 1676 1813 2072 2744 2933 3352 3626 4144 5488 5866 6704 7252 11732 12691 14504 15503 20531 23464 25382 29008 31006 41062 46928 50764 62012 82124 101528 108521 124024 143717 164248 203056 217042 248048 287434 328496 434084 574868 759647 868168 1149736 1519294 1736336 2299472 3038588 5317529 6077176 10635058 12154352 21270116 42540232 85080464