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486148608 = 29331123139
BaseRepresentation
bin11100111110100…
…000101000000000
31020212202220112000
4130332200220000
51443423223413
6120123504000
715022123611
oct3476405000
91225686460
10486148608
1122a466710
12116988000
13799454ca
14487cbc08
152ca2e073
hex1cfa0a00

486148608 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 139898880.

The previous prime is 486148601. The next prime is 486148627. The reversal of 486148608 is 806841684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486148601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3497403 + ... + 3497541.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2486148608 is an apocalyptic number.

486148608 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 486148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

486148608 is an abundant number, since it is smaller than the sum of its proper divisors (1163745792).

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

486148608 is a wasteful number, since it uses less digits than its factorization.

486148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 486148608 is about 22048.7779253182. Note that the first 3 decimals coincide. The cubic root of 486148608 is about 786.3025465440.

The spelling of 486148608 in words is "four hundred eighty-six million, one hundred forty-eight thousand, six hundred eight".