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483748992 = 2732419921
BaseRepresentation
bin11100110101010…
…110110010000000
31020201020222212100
4130311112302000
51442314431432
6120000230400
714662540626
oct3465266200
91221228770
10483748992
11229077861
1211600b400
13792b520c
1448365516
152c70807c
hex1cd56c80

483748992 has 48 divisors (see below), whose sum is σ = 1392041430. Its totient is φ = 161249280.

The previous prime is 483748973. The next prime is 483748997. The reversal of 483748992 is 299847384.

483748992 is a `hidden beast` number, since 48 + 37 + 489 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 434972736 + 48776256 = 20856^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4837489922 = 468026174522032128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (483748997) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 208809 + ... + 211112.

Almost surely, 2483748992 is an apocalyptic number.

It is an amenable number.

483748992 is an abundant number, since it is smaller than the sum of its proper divisors (908292438).

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

483748992 is a wasteful number, since it uses less digits than its factorization.

483748992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419941 (or 419926 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 483748992 is about 21994.2945329010. The cubic root of 483748992 is about 785.0066895991.

The spelling of 483748992 in words is "four hundred eighty-three million, seven hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 419921 839842 1259763 1679684 2519526 3359368 3779289 5039052 6718736 7558578 10078104 13437472 15117156 20156208 26874944 30234312 40312416 53749888 60468624 80624832 120937248 161249664 241874496 483748992