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504042224 = 2472738807
BaseRepresentation
bin11110000010110…
…001001011110000
31022010102222221112
4132002301023300
52013013322344
6122003212452
715330200600
oct3602611360
91263388845
10504042224
11239578424
12120977128
138056bc4a
144ad28c00
152e3b5c9e
hex1e0b12f0

504042224 has 60 divisors (see below), whose sum is σ = 1151716464. Its totient is φ = 213034752.

The previous prime is 504042223. The next prime is 504042229. The reversal of 504042224 is 422240405.

It is a self number, because there is not a number n which added to its sum of digits gives 504042224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504042221) 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 11 ways as a sum of consecutive naturals, for example, 52829 + ... + 61635.

Almost surely, 2504042224 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 504042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575858232).

504042224 is an abundant number, since it is smaller than the sum of its proper divisors (647674240).

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

504042224 is a wasteful number, since it uses less digits than its factorization.

504042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 504042224 is about 22450.8847041715. The cubic root of 504042224 is about 795.8336647301.

Adding to 504042224 its reverse (422240405), we get a palindrome (926282629).

The spelling of 504042224 in words is "five hundred four million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 2044 3577 4088 7154 8176 8807 14308 17614 28616 35228 57232 61649 70456 123298 140912 246596 431543 493192 642911 863086 986384 1285822 1726172 2571644 3452344 4500377 5143288 6904688 9000754 10286576 18001508 31502639 36003016 63005278 72006032 126010556 252021112 504042224