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80430864 = 24331191283
BaseRepresentation
bin1001100101101…
…00011100010000
312121100022101220
410302310130100
5131042241424
611551525040
71664436213
oct462643420
9177308356
1080430864
1141445998
1222b29780
1313881537
14a97977a
1570db579
hex4cb4710

80430864 has 80 divisors (see below), whose sum is σ = 216367104. Its totient is φ = 25718400.

The previous prime is 80430829. The next prime is 80430871. The reversal of 80430864 is 46803408.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 284067 + ... + 284349.

Almost surely, 280430864 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 80430864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108183552).

80430864 is an abundant number, since it is smaller than the sum of its proper divisors (135936240).

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

80430864 is a wasteful number, since it uses less digits than its factorization.

80430864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

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

The square root of 80430864 is about 8968.3255962303. The cubic root of 80430864 is about 431.6591103627.

The spelling of 80430864 in words is "eighty million, four hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 191 248 283 372 382 496 566 573 744 764 849 1132 1146 1488 1528 1698 2264 2292 3056 3396 4528 4584 5921 6792 8773 9168 11842 13584 17546 17763 23684 26319 35092 35526 47368 52638 54053 70184 71052 94736 105276 108106 140368 142104 162159 210552 216212 284208 324318 421104 432424 648636 864848 1297272 1675643 2594544 3351286 5026929 6702572 10053858 13405144 20107716 26810288 40215432 80430864