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80335400 = 23524197101
BaseRepresentation
bin1001100100111…
…01001000101000
312121011110110012
410302131020220
5131031213100
611545511052
71663560665
oct462351050
9177143405
1080335400
11413901a2
1222aa2488
1313849c52
14a952a6c
1570bd135
hex4c9d228

80335400 has 96 divisors (see below), whose sum is σ = 195221880. Its totient is φ = 30720000.

The previous prime is 80335397. The next prime is 80335417. The reversal of 80335400 is 453308.

It can be written as a sum of positive squares in 12 ways, for example, as 4401604 + 75933796 = 2098^2 + 8714^2 .

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 23 ways as a sum of consecutive naturals, for example, 795350 + ... + 795450.

Almost surely, 280335400 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 80335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97610940).

80335400 is an abundant number, since it is smaller than the sum of its proper divisors (114886480).

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

80335400 is a wasteful number, since it uses less digits than its factorization.

80335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 80335400 is about 8963.0017293315. The cubic root of 80335400 is about 431.4882629319.

Adding to 80335400 its reverse (453308), we get a palindrome (80788708).

The spelling of 80335400 in words is "eighty million, three hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 97 100 101 164 194 200 202 205 328 388 404 410 485 505 776 808 820 970 1010 1025 1640 1940 2020 2050 2425 2525 3880 3977 4040 4100 4141 4850 5050 7954 8200 8282 9700 9797 10100 15908 16564 19400 19594 19885 20200 20705 31816 33128 39188 39770 41410 48985 78376 79540 82820 97970 99425 103525 159080 165640 195940 198850 207050 244925 391880 397700 401677 414100 489850 795400 803354 828200 979700 1606708 1959400 2008385 3213416 4016770 8033540 10041925 16067080 20083850 40167700 80335400