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486142620 = 223531476783
BaseRepresentation
bin11100111110011…
…111001010011100
31020212202121022020
4130332133022130
51443423030440
6120123420140
715022100265
oct3476371234
91225677266
10486142620
1122a462167
12116984650
1379942872
14487c996c
152ca2c3d0
hex1cf9f29c

486142620 has 192 divisors, whose sum is σ = 1473970176. Its totient is φ = 119496960.

The previous prime is 486142597. The next prime is 486142633. The reversal of 486142620 is 26241684.

Together with 987827555 it forms a betrothed pair.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5857099 + ... + 5857181.

It is an arithmetic number, because the mean of its divisors is an integer number (7676928).

Almost surely, 2486142620 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 486142620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736985088).

486142620 is an abundant number, since it is smaller than the sum of its proper divisors (987827556).

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

486142620 is a wasteful number, since it uses less digits than its factorization.

486142620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 486142620 is about 22048.6421350613. The cubic root of 486142620 is about 786.2993181766.

The spelling of 486142620 in words is "four hundred eighty-six million, one hundred forty-two thousand, six hundred twenty".