Search a number
-
+
5541446880 = 25325127157193
BaseRepresentation
bin1010010100100101…
…11100010011100000
3112022012012200001100
411022102330103200
542322102300010
62313512234400
7254215343544
oct51222742340
915265180040
105541446880
112394003072
1210a799ba00
136a4095c68
143a7d65a24
1522675a2c0
hex14a4bc4e0

5541446880 has 288 divisors, whose sum is σ = 19279862784. Its totient is φ = 1449197568.

The previous prime is 5541446873. The next prime is 5541446887. The reversal of 5541446880 is 886441455.

It is a happy number.

5541446880 is a `hidden beast` number, since 5 + 541 + 44 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5541446873) and next prime (5541446887).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541446887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28712064 + ... + 28712256.

It is an arithmetic number, because the mean of its divisors is an integer number (66943968).

Almost surely, 25541446880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5541446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639931392).

5541446880 is an abundant number, since it is smaller than the sum of its proper divisors (13738415904).

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

5541446880 is a wasteful number, since it uses less digits than its factorization.

5541446880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5541446880 is about 74440.8952122420. The cubic root of 5541446880 is about 1769.5970738495.

The spelling of 5541446880 in words is "five billion, five hundred forty-one million, four hundred forty-six thousand, eight hundred eighty".