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80906448 = 2437241839
BaseRepresentation
bin1001101001010…
…00100011010000
312122020110210010
410310220203100
5131203001243
612010034520
72001456600
oct464504320
9178213703
1080906448
1141740237
1223118a40
13139b9b4c
14aa60c00
157182433
hex4d288d0

80906448 has 120 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 22525440.

The previous prime is 80906447. The next prime is 80906513. The reversal of 80906448 is 84460908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80906443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96013 + ... + 96851.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 280906448 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 80906448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

80906448 is an abundant number, since it is smaller than the sum of its proper divisors (168452592).

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

80906448 is a wasteful number, since it uses less digits than its factorization.

80906448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 80906448 is about 8994.8011651175. The cubic root of 80906448 is about 432.5082324382.

The spelling of 80906448 in words is "eighty million, nine hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 168 196 246 287 294 328 336 392 492 574 588 656 784 839 861 984 1148 1176 1678 1722 1968 2009 2296 2352 2517 3356 3444 4018 4592 5034 5873 6027 6712 6888 8036 10068 11746 12054 13424 13776 16072 17619 20136 23492 24108 32144 34399 35238 40272 41111 46984 48216 68798 70476 82222 93968 96432 103197 123333 137596 140952 164444 206394 240793 246666 275192 281904 328888 412788 481586 493332 550384 657776 722379 825576 963172 986664 1444758 1651152 1685551 1926344 1973328 2889516 3371102 3852688 5056653 5779032 6742204 10113306 11558064 13484408 20226612 26968816 40453224 80906448