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80488408 = 237111319232
BaseRepresentation
bin1001100110000…
…10011111011000
312121110020100011
410303002133120
5131101112113
611553051304
71665066040
oct463023730
9177406304
1080488408
1141485150
1222b56b34
13138a17a0
14a992720
1570ed63d
hex4cc27d8

80488408 has 192 divisors, whose sum is σ = 222969600. Its totient is φ = 26231040.

The previous prime is 80488403. The next prime is 80488411.

80488408 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80488403) 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 47 ways as a sum of consecutive naturals, for example, 3499485 + ... + 3499507.

It is an arithmetic number, because the mean of its divisors is an integer number (1161300).

Almost surely, 280488408 is an apocalyptic number.

80488408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80488408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

80488408 is an abundant number, since it is smaller than the sum of its proper divisors (142481192).

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

80488408 is a wasteful number, since it uses less digits than its factorization.

80488408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 80488408 is about 8971.5332023016. The cubic root of 80488408 is about 431.7620288578.

The spelling of 80488408 in words is "eighty million, four hundred eighty-eight thousand, four hundred eight".