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484997760 = 273351317127
BaseRepresentation
bin11100111010000…
…111101010000000
31020210121102212000
4130322013222000
51443124412020
6120043104000
715006261432
oct3472075200
91223542760
10484997760
1122984aaa5
12116512000
1379631730
14485ac652
152c8a3090
hex1ce87a80

484997760 has 512 divisors, whose sum is σ = 1974067200. Its totient is φ = 111476736.

The previous prime is 484997719. The next prime is 484997771. The reversal of 484997760 is 67799484.

It is a happy number.

484997760 is a `hidden beast` number, since 484 + 9 + 97 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 484997697 and 484997706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818817 + ... + 3818943.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2484997760 is an apocalyptic number.

484997760 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 484997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

484997760 is an abundant number, since it is smaller than the sum of its proper divisors (1489069440).

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

484997760 is a wasteful number, since it uses less digits than its factorization.

484997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 484997760 is about 22022.6646889063. The cubic root of 484997760 is about 785.6815912094.

The spelling of 484997760 in words is "four hundred eighty-four million, nine hundred ninety-seven thousand, seven hundred sixty".