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513423054 = 232193179613
BaseRepresentation
bin11110100110100…
…011011011001110
31022210002121000200
4132212203123032
52022414014204
6122540234330
715503011134
oct3646433316
91283077020
10513423054
112438a5381
12123b3b9a6
13824a4a31
144c28b754
153011a539
hex1e9a36ce

513423054 has 96 divisors (see below), whose sum is σ = 1226035200. Its totient is φ = 154664640.

The previous prime is 513423041. The next prime is 513423067. The reversal of 513423054 is 450324315.

It is an interprime number because it is at equal distance from previous prime (513423041) and next prime (513423067).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 837252 + ... + 837864.

It is an arithmetic number, because the mean of its divisors is an integer number (12771200).

Almost surely, 2513423054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513423054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613017600).

513423054 is an abundant number, since it is smaller than the sum of its proper divisors (712612146).

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

513423054 is a wasteful number, since it uses less digits than its factorization.

513423054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 513423054 is about 22658.8405263818. The cubic root of 513423054 is about 800.7404883431.

Adding to 513423054 its reverse (450324315), we get a palindrome (963747369).

The spelling of 513423054 in words is "five hundred thirteen million, four hundred twenty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 79 93 114 158 171 186 237 279 342 474 558 589 613 711 1178 1226 1422 1501 1767 1839 2449 3002 3534 3678 4503 4898 5301 5517 7347 9006 10602 11034 11647 13509 14694 19003 22041 23294 27018 34941 38006 44082 46531 48427 57009 69882 93062 96854 104823 114018 139593 145281 171027 209646 279186 290562 342054 361057 418779 435843 722114 837558 871686 920113 1083171 1501237 1840226 2166342 2760339 3002474 3249513 4503711 5520678 6499026 8281017 9007422 13511133 16562034 27022266 28523503 57047006 85570509 171141018 256711527 513423054