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488247760 = 245721113267
BaseRepresentation
bin11101000110100…
…001000111010000
31021000201120000101
4131012201013100
51444442412020
6120240502144
715046015600
oct3506410720
91230646011
10488247760
1123066a850
1211761a954
137a1cbb00
1448bb6c00
152cce600a
hex1d1a11d0

488247760 has 360 divisors, whose sum is σ = 1583175456. Its totient is φ = 138378240.

The previous prime is 488247751. The next prime is 488247763. The reversal of 488247760 is 67742884.

It is a self number, because there is not a number n which added to its sum of digits gives 488247760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488247763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7287247 + ... + 7287313.

Almost surely, 2488247760 is an apocalyptic number.

488247760 is a gapful number since it is divisible by the number (40) 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 488247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791587728).

488247760 is an abundant number, since it is smaller than the sum of its proper divisors (1094927696).

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

488247760 is a wasteful number, since it uses less digits than its factorization.

488247760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The square root of 488247760 is about 22096.3291068901. The cubic root of 488247760 is about 787.4326526768.

The spelling of 488247760 in words is "four hundred eighty-eight million, two hundred forty-seven thousand, seven hundred sixty".