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80463168 = 2632294817
BaseRepresentation
bin1001100101111…
…00010101000000
312121101221201100
410302330111000
5131044310133
611552334400
71664632332
oct462742500
9177357640
1080463168
1141468195
1222b44400
1313893156
14a987452
1570e5e13
hex4cbc540

80463168 has 84 divisors (see below), whose sum is σ = 238635540. Its totient is φ = 25890816.

The previous prime is 80463167. The next prime is 80463179. The reversal of 80463168 is 86136408.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 57881664 = 4752^2 + 7608^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80463161) 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, 14296 + ... + 19112.

Almost surely, 280463168 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 80463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119317770).

80463168 is an abundant number, since it is smaller than the sum of its proper divisors (158172372).

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

80463168 is a wasteful number, since it uses less digits than its factorization.

80463168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80463168 is about 8970.1264205138. The cubic root of 80463168 is about 431.7168926980.

The spelling of 80463168 in words is "eighty million, four hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 4817 5568 8352 9634 14451 16704 19268 28902 38536 43353 57804 77072 86706 115608 139693 154144 173412 231216 279386 308288 346824 419079 462432 558772 693648 838158 924864 1117544 1257237 1387296 1676316 2235088 2514474 2774592 3352632 4470176 5028948 6705264 8940352 10057896 13410528 20115792 26821056 40231584 80463168