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488871936 = 211347421
BaseRepresentation
bin11101001000111…
…001100000000000
31021001220021020000
4131020321200000
52000122400221
6120302120000
715054225420
oct3510714000
91231807200
10488871936
11230a567a3
12117880000
137a389c47
1448cda480
152cdbae26
hex1d239800

488871936 has 240 divisors, whose sum is σ = 1672791120. Its totient is φ = 139345920.

The previous prime is 488871931. The next prime is 488871997. The reversal of 488871936 is 639178884.

488871936 is a `hidden beast` number, since 488 + 8 + 71 + 93 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488871931) 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, 1161006 + ... + 1161426.

It is an arithmetic number, because the mean of its divisors is an integer number (6969963).

Almost surely, 2488871936 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 488871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836395560).

488871936 is an abundant number, since it is smaller than the sum of its proper divisors (1183919184).

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

488871936 is an equidigital number, since it uses as much as digits as its factorization.

488871936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 433 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 488871936 is about 22110.4485707550. The cubic root of 488871936 is about 787.7680611239.

The spelling of 488871936 in words is "four hundred eighty-eight million, eight hundred seventy-one thousand, nine hundred thirty-six".