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624424140 = 223454759139
BaseRepresentation
bin100101001101111…
…111010011001100
31121111222000220000
4211031333103030
52234323033030
6141543324300
721321342354
oct4515772314
91544860800
10624424140
112a052010a
12155150690
139c49a952
145cd03b64
1539c44860
hex2537f4cc

624424140 has 240 divisors, whose sum is σ = 2049062400. Its totient is φ = 159055488.

The previous prime is 624424133. The next prime is 624424153. The reversal of 624424140 is 41424426.

It is a happy number.

624424140 is a `hidden beast` number, since 6 + 244 + 2 + 414 + 0 = 666.

It is a super-2 number, since 2×6244241402 = 779811013229479200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4492191 + ... + 4492329.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2624424140 is an apocalyptic number.

624424140 is a gapful number since it is divisible by the number (60) 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 624424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024531200).

624424140 is an abundant number, since it is smaller than the sum of its proper divisors (1424638260).

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

624424140 is a wasteful number, since it uses less digits than its factorization.

624424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 624424140 is about 24988.4801458592. The cubic root of 624424140 is about 854.7253041832.

Adding to 624424140 its reverse (41424426), we get a palindrome (665848566).

The spelling of 624424140 in words is "six hundred twenty-four million, four hundred twenty-four thousand, one hundred forty".