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5432322240 = 263353716993
BaseRepresentation
bin1010000111100101…
…01010100011000000
3112000120212120012000
411003302222203000
542111133302430
62255013304000
7251421656112
oct50362524300
915016776160
105432322240
11233844a114
121077335000
136875a9177
1439767b3b2
1521bda1e60
hex143caa8c0

5432322240 has 224 divisors, whose sum is σ = 19683130560. Its totient is φ = 1409384448.

The previous prime is 5432322227. The next prime is 5432322241. The reversal of 5432322240 is 422232345.

It is a happy number.

5432322240 is a `hidden beast` number, since 5 + 432 + 3 + 2 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5432322241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 311184 + ... + 328176.

Almost surely, 25432322240 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 5432322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841565280).

5432322240 is an abundant number, since it is smaller than the sum of its proper divisors (14250808320).

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

5432322240 is a wasteful number, since it uses less digits than its factorization.

5432322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17056 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5432322240 is about 73704.2891560593. The cubic root of 5432322240 is about 1757.9040821760.

Adding to 5432322240 its reverse (422232345), we get a palindrome (5854554585).

The spelling of 5432322240 in words is "five billion, four hundred thirty-two million, three hundred twenty-two thousand, two hundred forty".