Search a number
-
+
481315736 = 231124871021
BaseRepresentation
bin11100101100000…
…100101110011000
31020112200101001202
4130230010232120
51441204100421
6115432133332
714633054606
oct3454045630
91215611052
10481315736
11227765700
12115237248
1378942815
1447cd0876
152c3c710b
hex1cb04b98

481315736 has 48 divisors (see below), whose sum is σ = 994978320. Its totient is φ = 218116800.

The previous prime is 481315663. The next prime is 481315753. The reversal of 481315736 is 637513184.

It is a self number, because there is not a number n which added to its sum of digits gives 481315736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470906 + ... + 471926.

It is an arithmetic number, because the mean of its divisors is an integer number (20728715).

Almost surely, 2481315736 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 481315736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497489160).

481315736 is an abundant number, since it is smaller than the sum of its proper divisors (513662584).

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

481315736 is a wasteful number, since it uses less digits than its factorization.

481315736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1521 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 481315736 is about 21938.9091798111. The cubic root of 481315736 is about 783.6882828184.

The spelling of 481315736 in words is "four hundred eighty-one million, three hundred fifteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 487 968 974 1021 1948 2042 3896 4084 5357 8168 10714 11231 21428 22462 42856 44924 58927 89848 117854 123541 235708 247082 471416 494164 497227 988328 994454 1988908 3977816 5469497 10938994 21877988 43755976 60164467 120328934 240657868 481315736