Search a number
-
+
75314432 = 28674391
BaseRepresentation
bin1000111110100…
…11010100000000
312020201100222102
410133103110000
5123240030212
611250125532
71603106414
oct437232400
9166640872
1075314432
1139570936
12212808a8
13127ac76b
14a006d44
15692a5c2
hex47d3500

75314432 has 36 divisors (see below), whose sum is σ = 152613216. Its totient is φ = 37086720.

The previous prime is 75314419. The next prime is 75314441. The reversal of 75314432 is 23441357.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75314395 and 75314404.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 14957 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (4239256).

Almost surely, 275314432 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 75314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76306608).

75314432 is an abundant number, since it is smaller than the sum of its proper divisors (77298784).

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

75314432 is an equidigital number, since it uses as much as digits as its factorization.

75314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4460 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 75314432 is about 8678.3887905532. The cubic root of 75314432 is about 422.3048492442.

Adding to 75314432 its reverse (23441357), we get a palindrome (98755789).

The spelling of 75314432 in words is "seventy-five million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 4391 8576 8782 17152 17564 35128 70256 140512 281024 294197 562048 588394 1124096 1176788 2353576 4707152 9414304 18828608 37657216 75314432