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80849706 = 237259279
BaseRepresentation
bin1001101000110…
…10101100101010
312122010120221120
410310122230222
5131144142311
612004520110
72001132300
oct464325452
9178116846
1080849706
1141701643
12230b0036
131399a082
14aa48270
157170706
hex4d1ab2a

80849706 has 72 divisors (see below), whose sum is σ = 193763520. Its totient is φ = 22420944.

The previous prime is 80849701. The next prime is 80849707. The reversal of 80849706 is 60794808.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80849701) 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 35 ways as a sum of consecutive naturals, for example, 1023375 + ... + 1023453.

It is an arithmetic number, because the mean of its divisors is an integer number (2691160).

Almost surely, 280849706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80849706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96881760).

80849706 is an abundant number, since it is smaller than the sum of its proper divisors (112913814).

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

80849706 is a wasteful number, since it uses less digits than its factorization.

80849706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 80849706 is about 8991.6464565729. The cubic root of 80849706 is about 432.4070986713.

The spelling of 80849706 in words is "eighty million, eight hundred forty-nine thousand, seven hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 59 79 98 118 147 158 177 237 294 354 413 474 553 826 1106 1239 1659 2478 2891 3318 3481 3871 4661 5782 6962 7742 8673 9322 10443 11613 13983 17346 20886 23226 24367 27966 32627 48734 65254 73101 97881 146202 170569 195762 228389 274999 341138 456778 511707 549998 685167 824997 1023414 1370334 1649994 1924993 3849986 5774979 11549958 13474951 26949902 40424853 80849706