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486097416 = 23337378689
BaseRepresentation
bin11100111110010…
…100001000001000
31020212200022022000
4130332110020020
51443420104131
6120122431000
715021521430
oct3476241010
91225608260
10486097416
1122a431202
12116962460
137992810c
14487b72c0
152ca1dce6
hex1cf94208

486097416 has 128 divisors (see below), whose sum is σ = 1585056000. Its totient is φ = 135115776.

The previous prime is 486097399. The next prime is 486097427. The reversal of 486097416 is 614790684.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51600 + ... + 60288.

It is an arithmetic number, because the mean of its divisors is an integer number (12383250).

Almost surely, 2486097416 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 486097416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792528000).

486097416 is an abundant number, since it is smaller than the sum of its proper divisors (1098958584).

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

486097416 is a wasteful number, since it uses less digits than its factorization.

486097416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 486097416 is about 22047.6170140902. The cubic root of 486097416 is about 786.2749460585.

The spelling of 486097416 in words is "four hundred eighty-six million, ninety-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 8689 9324 13986 17378 18648 26067 27972 34756 52134 55944 60823 69512 78201 104268 121646 156402 182469 208536 234603 243292 312804 321493 364938 469206 486584 547407 625608 642986 729876 938412 964479 1094814 1285972 1459752 1642221 1876824 1928958 2189628 2250451 2571944 2893437 3284442 3857916 4379256 4500902 5786874 6568884 6751353 7715832 8680311 9001804 11573748 13137768 13502706 17360622 18003608 20254059 23147496 27005412 34721244 40508118 54010824 60762177 69442488 81016236 121524354 162032472 243048708 486097416