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424788624 = 243413191327
BaseRepresentation
bin11001010100011…
…100001010010000
31002121022111110000
4121110130022100
51332221213444
6110052410000
713345433541
oct3124341220
91077274400
10424788624
111a8866a87
12ba316900
136a010520
14405b84c8
152745d469
hex1951c290

424788624 has 200 divisors, whose sum is σ = 1394771840. Its totient is φ = 123731712.

The previous prime is 424788599. The next prime is 424788631. The reversal of 424788624 is 426887424.

It is a self number, because there is not a number n which added to its sum of digits gives 424788624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319449 + ... + 320775.

Almost surely, 2424788624 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 424788624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697385920).

424788624 is an abundant number, since it is smaller than the sum of its proper divisors (969983216).

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

424788624 is a wasteful number, since it uses less digits than its factorization.

424788624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1364 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 424788624 is about 20610.4008694639. The cubic root of 424788624 is about 751.7226323545.

The spelling of 424788624 in words is "four hundred twenty-four million, seven hundred eighty-eight thousand, six hundred twenty-four".