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80830464 = 2133111323
BaseRepresentation
bin1001101000101…
…10000000000000
312122002121112220
410310112000000
5131143033324
612004251040
72001022221
oct464260000
9178077486
1080830464
1141699140
12230a0a80
13139913a0
14aa41248
157169b79
hex4d16000

80830464 has 224 divisors, whose sum is σ = 264225024. Its totient is φ = 21626880.

The previous prime is 80830457. The next prime is 80830481. The reversal of 80830464 is 46403808.

It is a super-3 number, since 3×808304643 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514357 + ... + 3514379.

It is an arithmetic number, because the mean of its divisors is an integer number (1179576).

Almost surely, 280830464 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 80830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132112512).

80830464 is an abundant number, since it is smaller than the sum of its proper divisors (183394560).

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

80830464 is a wasteful number, since it uses less digits than its factorization.

80830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 80830464 is about 8990.5763997644. The cubic root of 80830464 is about 432.3727920632.

The spelling of 80830464 in words is "eighty million, eight hundred thirty thousand, four hundred sixty-four".