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80398440 = 233351729151
BaseRepresentation
bin1001100101011…
…00100001101000
312121021122221000
410302230201220
5131040222230
611551115000
71664242533
oct462544150
9177248830
1080398440
11414235a1
1222b12a60
131386c855
14a96ba1a
1570d1b60
hex4cac868

80398440 has 256 divisors, whose sum is σ = 295488000. Its totient is φ = 19353600.

The previous prime is 80398429. The next prime is 80398471. The reversal of 80398440 is 4489308.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 80398395 and 80398404.

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 63 ways as a sum of consecutive naturals, for example, 532365 + ... + 532515.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 280398440 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 80398440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

80398440 is an abundant number, since it is smaller than the sum of its proper divisors (215089560).

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

80398440 is a wasteful number, since it uses less digits than its factorization.

80398440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80398440 is about 8966.5177187133. The cubic root of 80398440 is about 431.6010978226.

The spelling of 80398440 in words is "eighty million, three hundred ninety-eight thousand, four hundred forty".