Search a number
-
+
80466880 = 2651323292
BaseRepresentation
bin1001100101111…
…01001111000000
312121102010210211
410302331033000
5131044420010
611552403504
71664646214
oct462751700
9177363724
1080466880
114146aa5a
1222b46594
1313894a50
14a988944
1570e708a
hex4cbd3c0

80466880 has 168 divisors, whose sum is σ = 223003872. Its totient is φ = 27439104.

The previous prime is 80466877. The next prime is 80466901. The reversal of 80466880 is 8866408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2774706 + ... + 2774734.

It is an arithmetic number, because the mean of its divisors is an integer number (1327404).

Almost surely, 280466880 is an apocalyptic number.

80466880 is a gapful number since it is divisible by the number (80) 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 80466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111501936).

80466880 is an abundant number, since it is smaller than the sum of its proper divisors (142536992).

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

80466880 is a wasteful number, since it uses less digits than its factorization.

80466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 80466880 is about 8970.3333271401. Note that the first 4 decimals coincide. The cubic root of 80466880 is about 431.7235313813.

The spelling of 80466880 in words is "eighty million, four hundred sixty-six thousand, eight hundred eighty".