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486331296 = 253111924239
BaseRepresentation
bin11100111111001…
…101001110100000
31020220010012010020
4130333031032200
51444000100141
6120131433440
715023514333
oct3477151640
91226105106
10486331296
1122a5809a0
12116a55880
13799aa6c9
144883861a
152ca68266
hex1cfcd3a0

486331296 has 96 divisors (see below), whose sum is σ = 1466035200. Its totient is φ = 139610880.

The previous prime is 486331273. The next prime is 486331309. The reversal of 486331296 is 692133684.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7945 + ... + 32183.

It is an arithmetic number, because the mean of its divisors is an integer number (15271200).

Almost surely, 2486331296 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 486331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733017600).

486331296 is an abundant number, since it is smaller than the sum of its proper divisors (979703904).

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

486331296 is a wasteful number, since it uses less digits than its factorization.

486331296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282 (or 24274 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 486331296 is about 22052.9203508288. The cubic root of 486331296 is about 786.4010281245.

The spelling of 486331296 in words is "four hundred eighty-six million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 24239 48478 72717 96956 145434 193912 266629 290868 387824 460541 533258 581736 775648 799887 921082 1066516 1163472 1381623 1599774 1842164 2133032 2326944 2763246 3199548 3684328 4266064 5065951 5526492 6399096 7368656 8532128 10131902 11052984 12798192 14737312 15197853 20263804 22105968 25596384 30395706 40527608 44211936 60791412 81055216 121582824 162110432 243165648 486331296