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486497296 = 24175213433
BaseRepresentation
bin11100111111110…
…101110000010000
31020220102121211101
4130333311300100
51444020403141
6120135154144
715025105315
oct3477656020
91226377741
10486497296
1122a68468a
12116b15954
1379a3812c
144887cd0c
152ca9c531
hex1cff5c10

486497296 has 40 divisors (see below), whose sum is σ = 1000241784. Its totient is φ = 228433920.

The previous prime is 486497281. The next prime is 486497327. The reversal of 486497296 is 692794684.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55353600 + 431143696 = 7440^2 + 20764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139996 + ... + 143428.

Almost surely, 2486497296 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 486497296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500120892).

486497296 is an abundant number, since it is smaller than the sum of its proper divisors (513744488).

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

486497296 is a wasteful number, since it uses less digits than its factorization.

486497296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3973 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The square root of 486497296 is about 22056.6837035852. The cubic root of 486497296 is about 786.4904923243.

It can be divided in two parts, 48649 and 7296, that added together give a triangular number (55945 = T334).

The spelling of 486497296 in words is "four hundred eighty-six million, four hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 521 1042 2084 3433 4168 6866 8336 8857 13732 17714 27464 35428 54928 58361 70856 116722 141712 233444 466888 933776 1788593 3577186 7154372 14308744 28617488 30406081 60812162 121624324 243248648 486497296