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487251072 = 27337111831
BaseRepresentation
bin11101000010101…
…101110010000000
31020221211220211000
4131002231302000
51444214013242
6120203252000
715034365030
oct3502556200
91227756730
10487251072
11230049a40
1211721a000
1379c40259
14489d78c0
152cb9aa4c
hex1d0adc80

487251072 has 256 divisors, whose sum is σ = 1793894400. Its totient is φ = 126489600.

The previous prime is 487251071. The next prime is 487251073. The reversal of 487251072 is 270152784.

487251072 is a `hidden beast` number, since 4 + 8 + 72 + 510 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (487251071) and next prime (487251073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (487251071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265197 + ... + 267027.

It is an arithmetic number, because the mean of its divisors is an integer number (7007400).

Almost surely, 2487251072 is an apocalyptic number.

487251072 is a gapful number since it is divisible by the number (42) 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 487251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896947200).

487251072 is an abundant number, since it is smaller than the sum of its proper divisors (1306643328).

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

487251072 is a wasteful number, since it uses less digits than its factorization.

487251072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 487251072 is about 22073.7643368774. The cubic root of 487251072 is about 786.8964772741.

The spelling of 487251072 in words is "four hundred eighty-seven million, two hundred fifty-one thousand, seventy-two".