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505534272 = 2637933329
BaseRepresentation
bin11110001000011…
…101011101000000
31022020020210122120
4132020131131000
52013404044042
6122055204240
715345653565
oct3610353500
91266223576
10505534272
1123a3a7421
12121376680
1380972109
144b1d686c
152e5acdec
hex1e21d740

505534272 has 56 divisors (see below), whose sum is σ = 1354531200. Its totient is φ = 166373376.

The previous prime is 505534241. The next prime is 505534301. The reversal of 505534272 is 272435505.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1497 + ... + 31832.

Almost surely, 2505534272 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 505534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677265600).

505534272 is an abundant number, since it is smaller than the sum of its proper divisors (848996928).

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

505534272 is a wasteful number, since it uses less digits than its factorization.

505534272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33423 (or 33413 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 505534272 is about 22484.0893077750. The cubic root of 505534272 is about 796.6181574038.

Adding to 505534272 its reverse (272435505), we get a palindrome (777969777).

The spelling of 505534272 in words is "five hundred five million, five hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 33329 66658 99987 133316 199974 266632 399948 533264 799896 1066528 1599792 2133056 2632991 3199584 5265982 6399168 7898973 10531964 15797946 21063928 31595892 42127856 63191784 84255712 126383568 168511424 252767136 505534272