Search a number
-
+
5441451100 = 2252891514049
BaseRepresentation
bin1010001000101010…
…11111010001011100
3112001020001100121221
411010111133101130
542121002413400
62255541103124
7251562366631
oct50425372134
915036040557
105441451100
112342614828
12107a3b7aa4
13689454367
14398976188
1521caa6c1a
hex14455f45c

5441451100 has 72 divisors (see below), whose sum is σ = 12022668000. Its totient is φ = 2137344000.

The previous prime is 5441451091. The next prime is 5441451109. The reversal of 5441451100 is 11541445.

It is an interprime number because it is at equal distance from previous prime (5441451091) and next prime (5441451109).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441451109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341876 + ... + 1345924.

It is an arithmetic number, because the mean of its divisors is an integer number (166981500).

Almost surely, 25441451100 is an apocalyptic number.

5441451100 is a gapful number since it is divisible by the number (50) 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 5441451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011334000).

5441451100 is an abundant number, since it is smaller than the sum of its proper divisors (6581216900).

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

5441451100 is a wasteful number, since it uses less digits than its factorization.

5441451100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 5441451100 is about 73766.1921207812. The cubic root of 5441451100 is about 1758.8882333809. Note that the first 3 decimals are identical.

Adding to 5441451100 its reverse (11541445), we get a palindrome (5452992545).

The spelling of 5441451100 in words is "five billion, four hundred forty-one million, four hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 151 178 302 356 445 604 755 890 1510 1780 2225 3020 3775 4049 4450 7550 8098 8900 13439 15100 16196 20245 26878 40490 53756 67195 80980 101225 134390 202450 268780 335975 360361 404900 611399 671950 720722 1222798 1343900 1441444 1801805 2445596 3056995 3603610 6113990 7207220 9009025 12227980 15284975 18018050 30569950 36036100 54414511 61139900 108829022 217658044 272072555 544145110 1088290220 1360362775 2720725550 5441451100