Search a number
-
+
7283146752 = 2183473
BaseRepresentation
bin1101100100001110…
…00000000000000000
3200210120112012010000
412302013000000000
5104403441144002
63202411040000
7345324504000
oct66207000000
920716465100
107283146752
1130a8167a52
1214b3140000
138c0b829bb
144d13c4000
152c95e961c
hex1b21c0000

7283146752 has 380 divisors, whose sum is σ = 25375490800. Its totient is φ = 2080899072.

The previous prime is 7283146691. The next prime is 7283146757. The reversal of 7283146752 is 2576413827.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=1344.

It is a super-2 number, since 2×72831467522 (a number of 21 digits) contains 22 as substring.

Its product of digits (564480) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 7283146698 and 7283146707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7283146757) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1040449533 + ... + 1040449539.

Almost surely, 27283146752 is an apocalyptic number.

7283146752 is a gapful number since it is divisible by the number (72) 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 7283146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687745400).

7283146752 is an abundant number, since it is smaller than the sum of its proper divisors (18092344048).

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

7283146752 is an frugal number, since it uses more digits than its factorization.

7283146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 12 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 7283146752 is about 85341.3542896994. The cubic root of 7283146752 is about 1938.3834224932.

The spelling of 7283146752 in words is "seven billion, two hundred eighty-three million, one hundred forty-six thousand, seven hundred fifty-two".