[go: up one dir, main page]

Search a number
-
+
8056832 = 2127281
BaseRepresentation
bin11110101111000000000000
3120011022220012
4132233000000
54030304312
6444404052
7125324210
oct36570000
916138805
108056832
114603243
122846628
131891274
1410da240
15a92322
hex7af000

8056832 has 52 divisors (see below), whose sum is σ = 18478896. Its totient is φ = 3440640.

The previous prime is 8056823. The next prime is 8056837. The reversal of 8056832 is 2386508.

It is a super-3 number, since 3×80568323 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8056837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28532 + ... + 28812.

Almost surely, 28056832 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 8056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239448).

8056832 is an abundant number, since it is smaller than the sum of its proper divisors (10422064).

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

8056832 is an equidigital number, since it uses as much as digits as its factorization.

8056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 8056832 is about 2838.4559182767. The cubic root of 8056832 is about 200.4724829205.

It can be divided in two parts, 8056 and 832, that added together give a palindrome (8888).

The spelling of 8056832 in words is "eight million, fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 281 448 512 562 896 1024 1124 1792 1967 2048 2248 3584 3934 4096 4496 7168 7868 8992 14336 15736 17984 28672 31472 35968 62944 71936 125888 143872 251776 287744 503552 575488 1007104 1150976 2014208 4028416 8056832