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486082296 = 233471011061
BaseRepresentation
bin11100111110010…
…000011011111000
31020212122112120000
4130332100123320
51443414113141
6120122233000
715021426360
oct3476203370
91225575500
10486082296
1122a420907
12116955760
137992127b
14487b19a0
152ca195b6
hex1cf906f8

486082296 has 160 divisors (see below), whose sum is σ = 1572864480. Its totient is φ = 137376000.

The previous prime is 486082291. The next prime is 486082307. The reversal of 486082296 is 692280684.

486082296 is a `hidden beast` number, since 486 + 0 + 82 + 2 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486082291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 457606 + ... + 458666.

It is an arithmetic number, because the mean of its divisors is an integer number (9830403).

Almost surely, 2486082296 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 486082296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786432240).

486082296 is an abundant number, since it is smaller than the sum of its proper divisors (1086782184).

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

486082296 is a wasteful number, since it uses less digits than its factorization.

486082296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 486082296 is about 22047.2741172237. The cubic root of 486082296 is about 786.2667936456.

The spelling of 486082296 in words is "four hundred eighty-six million, eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 101 108 126 162 168 189 202 216 252 303 324 378 404 504 567 606 648 707 756 808 909 1061 1134 1212 1414 1512 1818 2121 2122 2268 2424 2727 2828 3183 3636 4242 4244 4536 5454 5656 6363 6366 7272 7427 8181 8484 8488 9549 10908 12726 12732 14854 16362 16968 19089 19098 21816 22281 25452 25464 28647 29708 32724 38178 38196 44562 50904 57267 57294 59416 65448 66843 76356 76392 85941 89124 107161 114534 114588 133686 152712 171882 178248 200529 214322 229068 229176 267372 321483 343764 401058 428644 458136 534744 601587 642966 687528 750127 802116 857288 964449 1203174 1285932 1500254 1604232 1928898 2250381 2406348 2571864 2893347 3000508 3857796 4500762 4812696 5786694 6001016 6751143 7715592 8680041 9001524 11573388 13502286 17360082 18003048 20253429 23146776 27004572 34720164 40506858 54009144 60760287 69440328 81013716 121520574 162027432 243041148 486082296