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80108352 = 263617101
BaseRepresentation
bin1001100011001…
…01101101000000
312120201221000000
410301211231000
5131001431402
611541000000
71661624022
oct461455500
9176657000
1080108352
1141245655
12229b3000
131379a7bc
14a8d4012
157075c1c
hex4c65b40

80108352 has 196 divisors, whose sum is σ = 254856996. Its totient is φ = 24883200.

The previous prime is 80108263. The next prime is 80108401. The reversal of 80108352 is 25380108.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 9144576 = 8424^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 793102 + ... + 793202.

Almost surely, 280108352 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 80108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127428498).

80108352 is an abundant number, since it is smaller than the sum of its proper divisors (174748644).

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

80108352 is a wasteful number, since it uses less digits than its factorization.

80108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 80108352 is about 8950.3269214035. The cubic root of 80108352 is about 431.0813813377.

The spelling of 80108352 in words is "eighty million, one hundred eight thousand, three hundred fifty-two".