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80398208 = 2711229179
BaseRepresentation
bin1001100101011…
…00011110000000
312121021122121102
410302230132000
5131040220313
611551113532
71664242052
oct462543600
9177248542
1080398208
1141423400
1222b128a8
131386c707
14a96b8d2
1570d1a58
hex4cac780

80398208 has 96 divisors (see below), whose sum is σ = 183141000. Its totient is φ = 35087360.

The previous prime is 80398207. The next prime is 80398217. The reversal of 80398208 is 80289308.

It is a super-2 number, since 2×803982082 = 12927743699222528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80398207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 449063 + ... + 449241.

Almost surely, 280398208 is an apocalyptic number.

80398208 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 80398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91570500).

80398208 is an abundant number, since it is smaller than the sum of its proper divisors (102742792).

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

80398208 is a wasteful number, since it uses less digits than its factorization.

80398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 80398208 is about 8966.5047816861. The cubic root of 80398208 is about 431.6006826754.

Subtracting from 80398208 its reverse (80289308), we obtain a square (108900 = 3302).

The spelling of 80398208 in words is "eighty million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 128 176 179 232 242 319 352 358 464 484 638 704 716 928 968 1276 1408 1432 1856 1936 1969 2552 2864 3509 3712 3872 3938 5104 5191 5728 7018 7744 7876 10208 10382 11456 14036 15488 15752 20416 20764 21659 22912 28072 31504 40832 41528 43318 56144 57101 63008 83056 86636 112288 114202 126016 166112 173272 224576 228404 252032 332224 346544 449152 456808 628111 664448 693088 913616 1256222 1386176 1827232 2512444 2772352 3654464 5024888 7308928 10049776 20099552 40199104 80398208