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80057448 = 23321012109
BaseRepresentation
bin1001100010110…
…01010001101000
312120122100011200
410301121101220
5130443314243
611535524200
71661322432
oct461312150
9176570150
1080057448
1141210389
1222989660
1313780593
14a8bd652
157065ad3
hex4c59468

80057448 has 72 divisors (see below), whose sum is σ = 220999350. Its totient is φ = 26179200.

The previous prime is 80057441. The next prime is 80057473. The reversal of 80057448 is 84475008.

80057448 is a `hidden beast` number, since 80 + 0 + 574 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73307844 + 6749604 = 8562^2 + 2598^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80057441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 734418 + ... + 734526.

Almost surely, 280057448 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 80057448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110499675).

80057448 is an abundant number, since it is smaller than the sum of its proper divisors (140941902).

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

80057448 is a wasteful number, since it uses less digits than its factorization.

80057448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 80057448 is about 8947.4827745014. The cubic root of 80057448 is about 430.9900532980.

The spelling of 80057448 in words is "eighty million, fifty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 109 202 218 303 327 404 436 606 654 808 872 909 981 1212 1308 1818 1962 2424 2616 3636 3924 7272 7848 10201 11009 20402 22018 30603 33027 40804 44036 61206 66054 81608 88072 91809 99081 122412 132108 183618 198162 244824 264216 367236 396324 734472 792648 1111909 2223818 3335727 4447636 6671454 8895272 10007181 13342908 20014362 26685816 40028724 80057448