[go: up one dir, main page]

Search a number
-
+
6000448 = 26295361
BaseRepresentation
bin10110111000111101000000
3102021212001211
4112320331000
53014003243
6332335504
7102001006
oct26707500
912255054
106000448
113429253
122014594
13132127c
14b22a76
157d7d9d
hex5b8f40

6000448 has 56 divisors (see below), whose sum is σ = 12755880. Its totient is φ = 2795520.

The previous prime is 6000431. The next prime is 6000457. The reversal of 6000448 is 8440006.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 5721664 = 528^2 + 2392^2 .

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 7 ways as a sum of consecutive naturals, for example, 98338 + ... + 98398.

Almost surely, 26000448 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 6000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377940).

6000448 is an abundant number, since it is smaller than the sum of its proper divisors (6755432).

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

6000448 is a wasteful number, since it uses less digits than its factorization.

6000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 6000448 is about 2449.5811886933. The cubic root of 6000448 is about 181.7165817819.

The spelling of 6000448 in words is "six million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 32 53 58 61 64 106 116 122 212 232 244 424 464 488 848 928 976 1537 1696 1769 1856 1952 3074 3233 3392 3538 3904 6148 6466 7076 12296 12932 14152 24592 25864 28304 49184 51728 56608 93757 98368 103456 113216 187514 206912 375028 750056 1500112 3000224 6000448