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486445344 = 25373111779
BaseRepresentation
bin11100111111101…
…001000100100000
31020220022222120020
4130333221010200
51444012222334
6120134113440
715024501000
oct3477510440
91226288506
10486445344
1122a649650
12116aab880
1379a1a5a8
1448868000
152ca8be49
hex1cfe9120

486445344 has 384 divisors, whose sum is σ = 1741824000. Its totient is φ = 117411840.

The previous prime is 486445319. The next prime is 486445357. The reversal of 486445344 is 443544684.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 486445296 and 486445305.

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, 6157497 + ... + 6157575.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2486445344 is an apocalyptic number.

486445344 is a gapful number since it is divisible by the number (44) 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 486445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

486445344 is an abundant number, since it is smaller than the sum of its proper divisors (1255378656).

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

486445344 is a wasteful number, since it uses less digits than its factorization.

486445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

The square root of 486445344 is about 22055.5059792334. The cubic root of 486445344 is about 786.4624954516.

The spelling of 486445344 in words is "four hundred eighty-six million, four hundred forty-five thousand, three hundred forty-four".