Search a number
-
+
5425453440 = 2733511172373
BaseRepresentation
bin1010000110110000…
…11101100110000000
3112000002221120222000
411003120131212000
542102404002230
62254210144000
7251306410341
oct50330354600
915002846860
105425453440
112334588520
121074b82000
136860428a4
143967b00c8
1521b496b60
hex14361d980

5425453440 has 1024 divisors, whose sum is σ = 23477299200. Its totient is φ = 1167851520.

The previous prime is 5425453393. The next prime is 5425453459. The reversal of 5425453440 is 443545245.

5425453440 is a `hidden beast` number, since 5 + 42 + 545 + 34 + 40 = 666.

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 = 5425453395 and 5425453404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74321244 + ... + 74321316.

It is an arithmetic number, because the mean of its divisors is an integer number (22927050).

Almost surely, 25425453440 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 5425453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738649600).

5425453440 is an abundant number, since it is smaller than the sum of its proper divisors (18051845760).

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

5425453440 is a wasteful number, since it uses less digits than its factorization.

5425453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 5425453440 is about 73657.6774002548. The cubic root of 5425453440 is about 1757.1628531760.

Adding to 5425453440 its reverse (443545245), we get a palindrome (5868998685).

The spelling of 5425453440 in words is "five billion, four hundred twenty-five million, four hundred fifty-three thousand, four hundred forty".