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487388368 = 24175573217
BaseRepresentation
bin11101000011001…
…111010011010000
31020222002220011001
4131003033103100
51444232411433
6120210231344
715035506225
oct3503172320
91228086131
10487388368
11230133105
12117285554
1379c8a8ac
1448a3194c
152cbc657d
hex1d0cf4d0

487388368 has 40 divisors (see below), whose sum is σ = 1001969352. Its totient is φ = 228876288.

The previous prime is 487388339. The next prime is 487388411. The reversal of 487388368 is 863883784.

It can be written as a sum of positive squares in 4 ways, for example, as 125171344 + 362217024 = 11188^2 + 19032^2 .

It is a super-3 number, since 3×4873883683 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149896 + ... + 153112.

Almost surely, 2487388368 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 487388368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500984676).

487388368 is an abundant number, since it is smaller than the sum of its proper divisors (514580984).

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

487388368 is a wasteful number, since it uses less digits than its factorization.

487388368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3793 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 55.

The square root of 487388368 is about 22076.8740540866. The cubic root of 487388368 is about 786.9703800312.

The spelling of 487388368 in words is "four hundred eighty-seven million, three hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 557 1114 2228 3217 4456 6434 8912 9469 12868 18938 25736 37876 51472 54689 75752 109378 151504 218756 437512 875024 1791869 3583738 7167476 14334952 28669904 30461773 60923546 121847092 243694184 487388368