Search a number
-
+
1283047056 = 24328910049
BaseRepresentation
bin100110001111001…
…1011111010010000
310022102021112200100
41030132123322100
510111430001211
6331152052400
743536501654
oct11436337220
93272245610
101283047056
115a9279275
122b9834100
13175a80755
14c258aa64
1577992156
hex4c79be90

1283047056 has 30 divisors (see below), whose sum is σ = 3590750150. Its totient is φ = 427682304.

The previous prime is 1283047037. The next prime is 1283047063. The reversal of 1283047056 is 6507403821.

1283047056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1003622400 + 279424656 = 31680^2 + 16716^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1283047056.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4454881 + ... + 4455168.

Almost surely, 21283047056 is an apocalyptic number.

1283047056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1283047056 is an abundant number, since it is smaller than the sum of its proper divisors (2307703094).

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

1283047056 is a wasteful number, since it uses less digits than its factorization.

1283047056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8910063 (or 8910054 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1283047056 is about 35819.6462294088. The cubic root of 1283047056 is about 1086.6279245642.

The spelling of 1283047056 in words is "one billion, two hundred eighty-three million, forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8910049 17820098 26730147 35640196 53460294 71280392 80190441 106920588 142560784 160380882 213841176 320761764 427682352 641523528 1283047056