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484792896 = 26372315683
BaseRepresentation
bin11100111001010…
…101101001000000
31020210020000211110
4130321111221000
51443101333041
6120034443320
715004446240
oct3471255100
91223200743
10484792896
11229720095
12116433540
137958c403
1448557b20
152c862516
hex1ce55a40

484792896 has 112 divisors (see below), whose sum is σ = 1529754624. Its totient is φ = 132481536.

The previous prime is 484792871. The next prime is 484792937. The reversal of 484792896 is 698297484.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 23071 + ... + 38753.

Almost surely, 2484792896 is an apocalyptic number.

484792896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764877312).

484792896 is an abundant number, since it is smaller than the sum of its proper divisors (1044961728).

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

484792896 is a wasteful number, since it uses less digits than its factorization.

484792896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15728 (or 15718 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 484792896 is about 22018.0129893685. The cubic root of 484792896 is about 785.5709511508.

The spelling of 484792896 in words is "four hundred eighty-four million, seven hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 15683 30912 31366 47049 62732 94098 109781 125464 188196 219562 250928 329343 360709 376392 439124 501856 658686 721418 752784 878248 1003712 1082127 1317372 1442836 1505568 1756496 2164254 2524963 2634744 2885672 3011136 3512992 4328508 5049926 5269488 5771344 7025984 7574889 8657016 10099852 10538976 11542688 15149778 17314032 20199704 21077952 23085376 30299556 34628064 40399408 60599112 69256128 80798816 121198224 161597632 242396448 484792896