Search a number
-
+
1481324544 = 2113374389
BaseRepresentation
bin101100001001011…
…0011100000000000
310211020101002021000
41120102303200000
511013204341134
6402553532000
751465023310
oct13022634000
93736332230
101481324544
116a0195067
12354114000
131a7b839cb
14100a41440
158a0aae99
hex584b3800

1481324544 has 384 divisors, whose sum is σ = 5189184000. Its totient is φ = 408748032.

The previous prime is 1481324519. The next prime is 1481324561. The reversal of 1481324544 is 4454231841.

1481324544 is a `hidden beast` number, since 1 + 4 + 81 + 32 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 junction number, because it is equal to n+sod(n) for n = 1481324499 and 1481324508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16644052 + ... + 16644140.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 21481324544 is an apocalyptic number.

1481324544 is a gapful number since it is divisible by the number (14) 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 1481324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

1481324544 is an abundant number, since it is smaller than the sum of its proper divisors (3707859456).

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

1481324544 is an equidigital number, since it uses as much as digits as its factorization.

1481324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 1481324544 is about 38487.9792142949. The cubic root of 1481324544 is about 1139.9437091319.

The spelling of 1481324544 in words is "one billion, four hundred eighty-one million, three hundred twenty-four thousand, five hundred forty-four".