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503135152 = 241329239349
BaseRepresentation
bin11101111111010…
…011101110110000
31022001201220200021
4131333103232300
52012300311102
6121531533224
715316402222
oct3577235660
91261656607
10503135152
11239008983
121205ba214
1380312110
144ab70412
152e287137
hex1dfd3bb0

503135152 has 80 divisors (see below), whose sum is σ = 1093680000. Its totient is φ = 222630912.

The previous prime is 503135147. The next prime is 503135153. The reversal of 503135152 is 251531305.

It is not an unprimeable number, because it can be changed into a prime (503135153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441474 + ... + 1441822.

It is an arithmetic number, because the mean of its divisors is an integer number (13671000).

Almost surely, 2503135152 is an apocalyptic number.

503135152 is a gapful number since it is divisible by the number (52) 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 503135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840000).

503135152 is an abundant number, since it is smaller than the sum of its proper divisors (590544848).

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

503135152 is a wasteful number, since it uses less digits than its factorization.

503135152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 503135152 is about 22430.6743545530. The cubic root of 503135152 is about 795.3559852403.

Adding to 503135152 its reverse (251531305), we get a palindrome (754666457).

The spelling of 503135152 in words is "five hundred three million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 239 349 377 464 478 698 754 956 1396 1508 1912 2792 3016 3107 3824 4537 5584 6032 6214 6931 9074 10121 12428 13862 18148 20242 24856 27724 36296 40484 49712 55448 72592 80968 83411 90103 110896 131573 161936 166822 180206 263146 333644 360412 526292 667288 720824 1052584 1084343 1334576 1441648 2105168 2168686 2418919 4337372 4837838 8674744 9675676 17349488 19351352 31445947 38702704 62891894 125783788 251567576 503135152