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80234448 = 2437317703
BaseRepresentation
bin1001100100001…
…00011111010000
312120222022222020
410302010133100
5131020000243
611543411440
71662660450
oct462043720
9176868866
1080234448
1141321368
1222a53b80
1313813008
14a927d60
15709d283
hex4c847d0

80234448 has 80 divisors (see below), whose sum is σ = 244555776. Its totient is φ = 22181760.

The previous prime is 80234447. The next prime is 80234449. The reversal of 80234448 is 84443208.

It is an interprime number because it is at equal distance from previous prime (80234447) and next prime (80234449).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80234447) 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 15 ways as a sum of consecutive naturals, for example, 6565 + ... + 14267.

Almost surely, 280234448 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 80234448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122277888).

80234448 is an abundant number, since it is smaller than the sum of its proper divisors (164321328).

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

80234448 is a wasteful number, since it uses less digits than its factorization.

80234448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 80234448 is about 8957.3683635318. The cubic root of 80234448 is about 431.3074465795.

The spelling of 80234448 in words is "eighty million, two hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 7703 10416 15406 23109 30812 46218 53921 61624 92436 107842 123248 161763 184872 215684 238793 323526 369744 431368 477586 647052 716379 862736 955172 1294104 1432758 1671551 1910344 2588208 2865516 3343102 3820688 5014653 5731032 6686204 10029306 11462064 13372408 20058612 26744816 40117224 80234448