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484576992 = 2535101617
BaseRepresentation
bin11100111000100…
…000111011100000
31020202211001200000
4130320200323200
51443022430432
6120030100000
715002556624
oct3470407340
91222731600
10484576992
11229592959
1211634a600
1379515063
14484dd184
152c81d57c
hex1ce20ee0

484576992 has 144 divisors (see below), whose sum is σ = 1445541552. Its totient is φ = 159667200.

The previous prime is 484576973. The next prime is 484577011. The reversal of 484576992 is 299675484.

484576992 is a `hidden beast` number, since 48 + 457 + 69 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (484576973) and next prime (484577011).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4845769922 = 469629722351536128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785068 + ... + 785684.

It is an arithmetic number, because the mean of its divisors is an integer number (10038483).

Almost surely, 2484576992 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 484576992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722770776).

484576992 is an abundant number, since it is smaller than the sum of its proper divisors (960964560).

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

484576992 is a wasteful number, since it uses less digits than its factorization.

484576992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 723 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 484576992 is about 22013.1095486303. The cubic root of 484576992 is about 785.4543150252.

The spelling of 484576992 in words is "four hundred eighty-four million, five hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 101 108 144 162 202 216 243 288 303 324 404 432 486 606 617 648 808 864 909 972 1212 1234 1296 1616 1818 1851 1944 2424 2468 2592 2727 3232 3636 3702 3888 4848 4936 5454 5553 7272 7404 7776 8181 9696 9872 10908 11106 14544 14808 16362 16659 19744 21816 22212 24543 29088 29616 32724 33318 43632 44424 49086 49977 59232 62317 65448 66636 87264 88848 98172 99954 124634 130896 133272 149931 177696 186951 196344 199908 249268 261792 266544 299862 373902 392688 399816 498536 533088 560853 599724 747804 785376 799632 997072 1121706 1199448 1495608 1599264 1682559 1994144 2243412 2398896 2991216 3365118 4486824 4797792 5047677 5982432 6730236 8973648 10095354 13460472 15143031 17947296 20190708 26920944 30286062 40381416 53841888 60572124 80762832 121144248 161525664 242288496 484576992