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503142444 = 2232711317669
BaseRepresentation
bin11101111111010…
…101100000101100
31022001202021200100
4131333111200230
52012301024234
6121532031100
715316432410
oct3577254054
91261667610
10503142444
11239013402
12120602490
138031552c
144ab72d40
152e289399
hex1dfd582c

503142444 has 72 divisors (see below), whose sum is σ = 1466468640. Its totient is φ = 142474752.

The previous prime is 503142433. The next prime is 503142467. The reversal of 503142444 is 444241305.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 19642 + ... + 37310.

It is an arithmetic number, because the mean of its divisors is an integer number (20367620).

Almost surely, 2503142444 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 503142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733234320).

503142444 is an abundant number, since it is smaller than the sum of its proper divisors (963326196).

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

503142444 is a wasteful number, since it uses less digits than its factorization.

503142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17799 (or 17794 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 503142444 is about 22430.8368992332. The cubic root of 503142444 is about 795.3598276193.

Adding to 503142444 its reverse (444241305), we get a palindrome (947383749).

The spelling of 503142444 in words is "five hundred three million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 17669 28476 35338 53007 70676 106014 123683 159021 212028 247366 318042 371049 494732 636084 742098 1113147 1484196 1996597 2226294 3993194 4452588 5989791 7986388 11979582 13976179 17969373 23959164 27952358 35938746 41928537 55904716 71877492 83857074 125785611 167714148 251571222 503142444