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80108416 = 27679341
BaseRepresentation
bin1001100011001…
…01101110000000
312120201221002101
410301211232000
5131001432131
611541000144
71661624143
oct461455600
9176657071
1080108416
1141245703
12229b3054
131379a83b
14a8d405a
157075c61
hex4c65b80

80108416 has 32 divisors (see below), whose sum is σ = 161990280. Its totient is φ = 39452160.

The previous prime is 80108401. The next prime is 80108417. The reversal of 80108416 is 61480108.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80108417) 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 3 ways as a sum of consecutive naturals, for example, 3906 + ... + 13246.

Almost surely, 280108416 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 80108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80995140).

80108416 is an abundant number, since it is smaller than the sum of its proper divisors (81881864).

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

80108416 is an equidigital number, since it uses as much as digits as its factorization.

80108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 80108416 is about 8950.3304966912. The cubic root of 80108416 is about 431.0814961372.

The spelling of 80108416 in words is "eighty million, one hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 8576 9341 18682 37364 74728 149456 298912 597824 625847 1195648 1251694 2503388 5006776 10013552 20027104 40054208 80108416