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485868024 = 233317307431
BaseRepresentation
bin11100111101011…
…100000111111000
31020212020122122000
4130331130013320
51443340234044
6120113501000
715016544565
oct3475340770
91225218560
10485868024
1122a294924
12116871760
1379877895
144875786c
152c9c5d69
hex1cf5c1f8

485868024 has 128 divisors (see below), whose sum is σ = 1437004800. Its totient is φ = 151580160.

The previous prime is 485868023. The next prime is 485868037. The reversal of 485868024 is 420868584.

485868024 is a `hidden beast` number, since 48 + 586 + 8 + 0 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485868023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127089 + ... + 1127519.

It is an arithmetic number, because the mean of its divisors is an integer number (11226600).

Almost surely, 2485868024 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 485868024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

485868024 is an abundant number, since it is smaller than the sum of its proper divisors (951136776).

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

485868024 is a wasteful number, since it uses less digits than its factorization.

485868024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 485868024 is about 22042.4142053451. The cubic root of 485868024 is about 786.1512441312.

The spelling of 485868024 in words is "four hundred eighty-five million, eight hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 307 408 431 459 612 614 862 918 921 1224 1228 1293 1724 1836 1842 2456 2586 2763 3448 3672 3684 3879 5172 5219 5526 7327 7368 7758 8289 10344 10438 11052 11637 14654 15516 15657 16578 20876 21981 22104 23274 29308 31032 31314 33156 41752 43962 46548 46971 58616 62628 65943 66312 87924 93096 93942 125256 131886 132317 140913 175848 187884 197829 263772 264634 281826 375768 395658 396951 527544 529268 563652 791316 793902 1058536 1127304 1190853 1582632 1587804 2249389 2381706 3175608 3572559 4498778 4763412 6748167 7145118 8997556 9526824 13496334 14290236 17995112 20244501 26992668 28580472 40489002 53985336 60733503 80978004 121467006 161956008 242934012 485868024