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80077984 = 257389919
BaseRepresentation
bin1001100010111…
…10010010100000
312120200101100021
410301132102200
5130444443414
611540203224
71661436340
oct461362240
9176611307
1080077984
1141224858
1222999514
1313789a2c
14a8c6d20
15706bc24
hex4c5e4a0

80077984 has 48 divisors (see below), whose sum is σ = 180835200. Its totient is φ = 34193664.

The previous prime is 80077979. The next prime is 80077999. The reversal of 80077984 is 48977008.

It is a self number, because there is not a number n which added to its sum of digits gives 80077984.

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 7 ways as a sum of consecutive naturals, for example, 86677 + ... + 87595.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 280077984 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 80077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90417600).

80077984 is an abundant number, since it is smaller than the sum of its proper divisors (100757216).

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

80077984 is a wasteful number, since it uses less digits than its factorization.

80077984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 80077984 is about 8948.6302862505. The cubic root of 80077984 is about 431.0269020663.

The spelling of 80077984 in words is "eighty million, seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 389 778 919 1556 1838 2723 3112 3676 5446 6224 6433 7352 10892 12448 12866 14704 21784 25732 29408 43568 51464 87136 102928 205856 357491 714982 1429964 2502437 2859928 5004874 5719856 10009748 11439712 20019496 40038992 80077984