Search a number
-
+
5465824 = 257131877
BaseRepresentation
bin10100110110011011100000
3101021200200221
4110312123200
52344401244
6313052424
764313230
oct24663340
911250627
105465824
1130a3611
1219b7114
131194b20
14a23cc0
1572e784
hex5366e0

5465824 has 48 divisors (see below), whose sum is σ = 13251168. Its totient is φ = 2161152.

The previous prime is 5465821. The next prime is 5465849. The reversal of 5465824 is 4285645.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5465824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465821) 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 7 ways as a sum of consecutive naturals, for example, 1974 + ... + 3850.

It is an arithmetic number, because the mean of its divisors is an integer number (276066).

Almost surely, 25465824 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 5465824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625584).

5465824 is an abundant number, since it is smaller than the sum of its proper divisors (7785344).

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

5465824 is a wasteful number, since it uses less digits than its factorization.

5465824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1899 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 5465824 is about 2337.9101779153. The cubic root of 5465824 is about 176.1510411401.

The spelling of 5465824 in words is "five million, four hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1877 2912 3754 7508 13139 15016 24401 26278 30032 48802 52556 60064 97604 105112 170807 195208 210224 341614 390416 420448 683228 780832 1366456 2732912 5465824