Search a number
-
+
4944467520 = 2632529531117
BaseRepresentation
bin1001001101011011…
…01001011001000000
3110202120212222022200
410212231221121000
540111240430040
62134345033200
7233346165126
oct44655513100
913676788280
104944467520
1121080286a3
12b5ba85800
1360a4b7235
1434c967916
151de137630
hex126b69640

4944467520 has 336 divisors, whose sum is σ = 17941350960. Its totient is φ = 1247920128.

The previous prime is 4944467519. The next prime is 4944467533. The reversal of 4944467520 is 257644494.

4944467520 is a `hidden beast` number, since 49 + 44 + 46 + 7 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 259338816 + 4685128704 = 16104^2 + 68448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4426002 + ... + 4427118.

Almost surely, 24944467520 is an apocalyptic number.

4944467520 is a gapful number since it is divisible by the number (40) 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 4944467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970675480).

4944467520 is an abundant number, since it is smaller than the sum of its proper divisors (12996883440).

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

4944467520 is a wasteful number, since it uses less digits than its factorization.

4944467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4944467520 is about 70316.9077818415. The cubic root of 4944467520 is about 1703.6217503354.

It can be divided in two parts, 49444 and 67520, that added together give a square (116964 = 3422).

The spelling of 4944467520 in words is "four billion, nine hundred forty-four million, four hundred sixty-seven thousand, five hundred twenty".