[go: up one dir, main page]

Search a number
-
+
4722368 = 26783127
BaseRepresentation
bin10010000000111011000000
322212220212112
4102000323000
52202103433
6245114452
755065560
oct22007300
98786775
104722368
112735a92
1216b8a28
13c94601
148acda0
15634348
hex480ec0

4722368 has 56 divisors (see below), whose sum is σ = 10924032. Its totient is φ = 1983744.

The previous prime is 4722343. The next prime is 4722371. The reversal of 4722368 is 8632274.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 411 + 73 + 211 + 219 + 34 + 64 + 8 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37121 + ... + 37247.

It is an arithmetic number, because the mean of its divisors is an integer number (195072).

Almost surely, 24722368 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 4722368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462016).

4722368 is an abundant number, since it is smaller than the sum of its proper divisors (6201664).

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

4722368 is a wasteful number, since it uses less digits than its factorization.

4722368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 4722368 is about 2173.1010100775. The cubic root of 4722368 is about 167.7721779664.

The spelling of 4722368 in words is "four million, seven hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 127 166 224 254 332 448 508 581 664 889 1016 1162 1328 1778 2032 2324 2656 3556 4064 4648 5312 7112 8128 9296 10541 14224 18592 21082 28448 37184 42164 56896 73787 84328 147574 168656 295148 337312 590296 674624 1180592 2361184 4722368