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492912896 = 2871931467
BaseRepresentation
bin11101011000010…
…100000100000000
31021100111120101012
4131120110010000
52002141203041
6120524500052
715133455560
oct3530240400
91240446335
10492912896
11233266833
121190aa628
137b173348
144966cda0
152d4183eb
hex1d614100

492912896 has 144 divisors (see below), whose sum is σ = 1224437760. Its totient is φ = 193259520.

The previous prime is 492912817. The next prime is 492912949. The reversal of 492912896 is 698219294.

It is a happy number.

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, 1055255 + ... + 1055721.

It is an arithmetic number, because the mean of its divisors is an integer number (8503040).

Almost surely, 2492912896 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 492912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612218880).

492912896 is an abundant number, since it is smaller than the sum of its proper divisors (731524864).

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

492912896 is a wasteful number, since it uses less digits than its factorization.

492912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 492912896 is about 22201.6417410965. The cubic root of 492912896 is about 789.9326418028.

The spelling of 492912896 in words is "four hundred ninety-two million, nine hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 128 133 152 217 224 248 256 266 304 434 448 467 496 532 589 608 868 896 934 992 1064 1178 1216 1736 1792 1868 1984 2128 2356 2432 3269 3472 3736 3968 4123 4256 4712 4864 6538 6944 7472 7936 8246 8512 8873 9424 13076 13888 14477 14944 16492 17024 17746 18848 26152 27776 28954 29888 32984 34048 35492 37696 52304 55552 57908 59776 62111 65968 70984 75392 101339 104608 115816 119552 124222 131936 141968 150784 202678 209216 231632 248444 263872 275063 283936 405356 418432 463264 496888 527744 550126 567872 810712 836864 926528 993776 1055488 1100252 1135744 1621424 1853056 1925441 1987552 2200504 2271488 3242848 3706112 3850882 3975104 4401008 6485696 7701764 7950208 8802016 12971392 15403528 15900416 17604032 25942784 30807056 35208064 61614112 70416128 123228224 246456448 492912896