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487378944 = 2123413113
BaseRepresentation
bin11101000011001…
…101000000000000
31020222002102020000
4131003031000000
51444232111234
6120210120000
715035436603
oct3503150000
91228072200
10487378944
11230127018
12117280000
1379c86510
1448a2c33a
152cbc3899
hex1d0cd000

487378944 has 260 divisors, whose sum is σ = 1581813156. Its totient is φ = 148635648.

The previous prime is 487378943. The next prime is 487378951. The reversal of 487378944 is 449873784.

487378944 is a `hidden beast` number, since 487 + 3 + 78 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 454201344 = 5760^2 + 21312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487378943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4313032 + ... + 4313144.

Almost surely, 2487378944 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 487378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790906578).

487378944 is an abundant number, since it is smaller than the sum of its proper divisors (1094434212).

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

487378944 is a wasteful number, since it uses less digits than its factorization.

487378944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 487378944 is about 22076.6606170408. The cubic root of 487378944 is about 786.9653077882.

The spelling of 487378944 in words is "four hundred eighty-seven million, three hundred seventy-eight thousand, nine hundred forty-four".