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80382256 = 2417319533
BaseRepresentation
bin1001100101010…
…00100100110000
312121020211201121
410302220210300
5131034213011
611550512024
71664144413
oct462504460
9177224647
1080382256
1141412419
1222b05614
1313865386
14a965b7a
1570cbe71
hex4ca8930

80382256 has 40 divisors (see below), whose sum is σ = 170239104. Its totient is φ = 36602880.

The previous prime is 80382223. The next prime is 80382259. The reversal of 80382256 is 65228308.

It is a super-2 number, since 2×803822562 = 12922614159299072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) 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 (34).

It is not an unprimeable number, because it can be changed into a prime (80382259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3666 + ... + 13198.

Almost surely, 280382256 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 80382256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85119552).

80382256 is an abundant number, since it is smaller than the sum of its proper divisors (89856848).

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

80382256 is a wasteful number, since it uses less digits than its factorization.

80382256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589 (or 9583 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 80382256 is about 8965.6152047698. The cubic root of 80382256 is about 431.5721358141.

The spelling of 80382256 in words is "eighty million, three hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 9533 19066 38132 76264 152528 162061 295523 324122 591046 648244 1182092 1296488 2364184 2592976 4728368 5023891 10047782 20095564 40191128 80382256