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80964400 = 24521118401
BaseRepresentation
bin1001101001101…
…10101100110000
312122100102021111
410310312230300
5131211330100
612011203104
72002120546
oct464665460
9178312244
1080964400
114177a830
1223146494
1313a0a33a
14aa77d96
1571946ba
hex4d36b30

80964400 has 60 divisors (see below), whose sum is σ = 212211864. Its totient is φ = 29440000.

The previous prime is 80964391. The next prime is 80964407. The reversal of 80964400 is 446908.

It is not an unprimeable number, because it can be changed into a prime (80964407) 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 11 ways as a sum of consecutive naturals, for example, 4801 + ... + 13600.

Almost surely, 280964400 is an apocalyptic number.

80964400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80964400 is an abundant number, since it is smaller than the sum of its proper divisors (131247464).

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

80964400 is a wasteful number, since it uses less digits than its factorization.

80964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18430 (or 18419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 80964400 is about 8998.0220048631. The cubic root of 80964400 is about 432.6114740446.

The spelling of 80964400 in words is "eighty million, nine hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 18401 36802 73604 92005 147208 184010 202411 294416 368020 404822 460025 736040 809644 920050 1012055 1472080 1619288 1840100 2024110 3238576 3680200 4048220 5060275 7360400 8096440 10120550 16192880 20241100 40482200 80964400