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511031052 = 223374116487
BaseRepresentation
bin11110011101011…
…011011100001100
31022121121001211000
4132131123130030
52021310443202
6122413100300
715443456310
oct3635333414
91277531730
10511031052
11242511214
12123187690
1381b4804c
144bc27b40
152ece691c
hex1e75b70c

511031052 has 96 divisors (see below), whose sum is σ = 1551191040. Its totient is φ = 142439040.

The previous prime is 511031051. The next prime is 511031077. The reversal of 511031052 is 250130115.

It is a super-2 number, since 2×5110310522 = 522305472216453408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (511031051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22753 + ... + 39239.

It is an arithmetic number, because the mean of its divisors is an integer number (16158240).

Almost surely, 2511031052 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 511031052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775595520).

511031052 is an abundant number, since it is smaller than the sum of its proper divisors (1040159988).

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

511031052 is a wasteful number, since it uses less digits than its factorization.

511031052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16548 (or 16540 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 511031052 is about 22605.9959302836. The cubic root of 511031052 is about 799.4950208955.

Adding to 511031052 its reverse (250130115), we get a palindrome (761161167).

The spelling of 511031052 in words is "five hundred eleven million, thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10332 15498 16487 30996 32974 49461 65948 98922 115409 148383 197844 230818 296766 346227 445149 461636 593532 675967 692454 890298 1038681 1351934 1384908 1780596 2027901 2077362 2703868 3116043 4055802 4154724 4731769 6083703 6232086 8111604 9463538 12167406 12464172 14195307 18251109 18927076 24334812 28390614 36502218 42585921 56781228 73004436 85171842 127757763 170343684 255515526 511031052