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492847872 = 28311227257
BaseRepresentation
bin11101011000000…
…100001100000000
31021100101021011220
4131120010030000
52002132112442
6120523235040
715133065156
oct3530041400
91240337156
10492847872
112332219a0
12119078a80
137b14c87a
14496533d6
152d403eec
hex1d604300

492847872 has 144 divisors (see below), whose sum is σ = 1442835072. Its totient is φ = 148111360.

The previous prime is 492847871. The next prime is 492847907. The reversal of 492847872 is 278748294.

It is not an unprimeable number, because it can be changed into a prime (492847871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1917568 + ... + 1917824.

It is an arithmetic number, because the mean of its divisors is an integer number (10019688).

Almost surely, 2492847872 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 492847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721417536).

492847872 is an abundant number, since it is smaller than the sum of its proper divisors (949987200).

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

492847872 is a wasteful number, since it uses less digits than its factorization.

492847872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 492847872 is about 22200.1772965893. The cubic root of 492847872 is about 789.8979048751.

The spelling of 492847872 in words is "four hundred ninety-two million, eight hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 227 256 257 264 352 384 454 514 528 681 704 768 771 908 1028 1056 1362 1408 1542 1816 2056 2112 2497 2724 2816 2827 3084 3632 4112 4224 4994 5448 5654 6168 7264 7491 8224 8448 8481 9988 10896 11308 12336 14528 14982 16448 16962 19976 21792 22616 24672 29056 29964 32896 33924 39952 43584 45232 49344 58112 58339 59928 65792 67848 79904 87168 90464 98688 116678 119856 135696 159808 174336 175017 180928 197376 233356 239712 271392 319616 350034 361856 466712 479424 542784 639232 641729 700068 723712 933424 958848 1085568 1283458 1400136 1866848 1917696 1925187 2171136 2566916 2800272 3733696 3850374 5133832 5600544 7467392 7700748 10267664 11201088 14934784 15401496 20535328 22402176 30802992 41070656 44804352 61605984 82141312 123211968 164282624 246423936 492847872