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481087488 = 2123721747
BaseRepresentation
bin11100101011001…
…101000000000000
31020112020202222010
4130223031000000
51441124244423
6115423212520
714631114300
oct3453150000
91215222863
10481087488
1122761a172
12115147140
137889296b
1447c71600
152c37e693
hex1cacd000

481087488 has 312 divisors, whose sum is σ = 1613561472. Its totient is φ = 126615552.

The previous prime is 481087487. The next prime is 481087499. The reversal of 481087488 is 884780184.

It is a happy number.

It is a super-2 number, since 2×4810874882 = 462890342220300288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481087487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10235881 + ... + 10235927.

Almost surely, 2481087488 is an apocalyptic number.

481087488 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 481087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806780736).

481087488 is an abundant number, since it is smaller than the sum of its proper divisors (1132473984).

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

481087488 is a wasteful number, since it uses less digits than its factorization.

481087488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 481087488 is about 21933.7066634894. The cubic root of 481087488 is about 783.5643838525.

The spelling of 481087488 in words is "four hundred eighty-one million, eighty-seven thousand, four hundred eighty-eight".