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505532502 = 23417232347
BaseRepresentation
bin11110001000011…
…101000001010110
31022020020201020000
4132020131001112
52013404020002
6122055152130
715345645456
oct3610350126
91266221200
10505532502
1123a3a6062
12121375646
1380971377
144b1d5d66
152e5ac61c
hex1e21d056

505532502 has 120 divisors (see below), whose sum is σ = 1257429096. Its totient is φ = 151265664.

The previous prime is 505532491. The next prime is 505532509. The reversal of 505532502 is 205235505.

It is a super-3 number, since 3×5055325023 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505532509) 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 59 ways as a sum of consecutive naturals, for example, 1456693 + ... + 1457039.

Almost surely, 2505532502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505532502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628714548).

505532502 is an abundant number, since it is smaller than the sum of its proper divisors (751896594).

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

505532502 is a wasteful number, since it uses less digits than its factorization.

505532502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 505532502 is about 22484.0499465732. The cubic root of 505532502 is about 796.6172276839.

The spelling of 505532502 in words is "five hundred five million, five hundred thirty-two thousand, five hundred two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 306 347 391 414 459 529 621 694 782 918 1041 1058 1173 1242 1377 1587 1863 2082 2346 2754 3123 3174 3519 3726 4761 5899 6246 7038 7981 8993 9369 9522 10557 11798 14283 15962 17697 17986 18738 21114 23943 26979 28107 28566 31671 35394 42849 47886 53091 53958 56214 63342 71829 80937 85698 106182 135677 143658 159273 161874 183563 215487 242811 271354 318546 367126 407031 430974 477819 485622 550689 646461 728433 814062 955638 1101378 1221093 1292922 1456866 1652067 2442186 3120571 3304134 3663279 4956201 6241142 7326558 9361713 9912402 10989837 14868603 18723426 21979674 28085139 29737206 56170278 84255417 168510834 252766251 505532502