Search a number
-
+
4274490528 = 2535711359
BaseRepresentation
bin1111111011000111…
…1000110010100000
3102000220012121200000
43332301320302200
532223232144103
61544053100000
7210632366340
oct37661706240
912026177600
104274490528
1118a3925000
129b3627600
1353175a449
142c79a6d20
151a03e5aa3
hexfec78ca0

4274490528 has 576 divisors, whose sum is σ = 16114775040. Its totient is φ = 1091439360.

The previous prime is 4274490511. The next prime is 4274490533. The reversal of 4274490528 is 8250944724.

4274490528 is a `hidden beast` number, since 42 + 74 + 490 + 52 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72448963 + ... + 72449021.

It is an arithmetic number, because the mean of its divisors is an integer number (27977040).

Almost surely, 24274490528 is an apocalyptic number.

4274490528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4274490528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057387520).

4274490528 is an abundant number, since it is smaller than the sum of its proper divisors (11840284512).

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

4274490528 is an equidigital number, since it uses as much as digits as its factorization.

4274490528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4274490528 is about 65379.5880072672. The cubic root of 4274490528 is about 1622.9113081528.

The spelling of 4274490528 in words is "four billion, two hundred seventy-four million, four hundred ninety thousand, five hundred twenty-eight".