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5122459440 = 24355737643
BaseRepresentation
bin1001100010101001…
…01000011100110000
3111012222210220100000
410301110220130300
540442322200230
62204144030000
7240640121040
oct46124503460
914188726300
105122459440
11219954965a
12bab602300
136383370b7
1436845b720
151eea95b60
hex131528730

5122459440 has 240 divisors, whose sum is σ = 20389195008. Its totient is φ = 1170816768.

The previous prime is 5122459423. The next prime is 5122459477. The reversal of 5122459440 is 449542215.

It is a happy number.

5122459440 is a `hidden beast` number, since 5 + 1 + 2 + 24 + 594 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51224594402 = 52479181428890227200, which contains 22 as substring.

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 = 5122459395 and 5122459404.

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 47 ways as a sum of consecutive naturals, for example, 117259 + ... + 154901.

Almost surely, 25122459440 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 5122459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10194597504).

5122459440 is an abundant number, since it is smaller than the sum of its proper divisors (15266735568).

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

5122459440 is a wasteful number, since it uses less digits than its factorization.

5122459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37678 (or 37660 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5122459440 is about 71571.3590760997. The cubic root of 5122459440 is about 1723.8236819554.

The spelling of 5122459440 in words is "five billion, one hundred twenty-two million, four hundred fifty-nine thousand, four hundred forty".