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52519005 = 32571123659
BaseRepresentation
bin1100100001011…
…0000001011101
310122211020112100
43020112001131
5101421102010
65113355313
71205255430
oct310260135
9118736470
1052519005
1127711340
1215708b39
13ab5ab46
146d91817
1549262c0
hex321605d

52519005 has 96 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 20845440.

The previous prime is 52518941. The next prime is 52519007. The reversal of 52519005 is 50091525.

It is not a de Polignac number, because 52519005 - 26 = 52518941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52519005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52519007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79366 + ... + 80024.

It is an arithmetic number, because the mean of its divisors is an integer number (1235520).

Almost surely, 252519005 is an apocalyptic number.

52519005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52519005 is an abundant number, since it is smaller than the sum of its proper divisors (66090915).

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

52519005 is a wasteful number, since it uses less digits than its factorization.

52519005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 52519005 is about 7246.9997240237. Note that the first 3 decimals coincide. The cubic root of 52519005 is about 374.4887967734.

The spelling of 52519005 in words is "fifty-two million, five hundred nineteen thousand, five".

Divisors: 1 3 5 7 9 11 15 21 23 33 35 45 55 63 69 77 99 105 115 161 165 207 231 253 315 345 385 483 495 659 693 759 805 1035 1155 1265 1449 1771 1977 2277 2415 3295 3465 3795 4613 5313 5931 7245 7249 8855 9885 11385 13839 15157 15939 21747 23065 26565 29655 36245 41517 45471 50743 65241 69195 75785 79695 106099 108735 136413 152229 166727 207585 227355 253715 318297 326205 456687 500181 530495 682065 761145 833635 954891 1167089 1500543 1591485 2283435 2500905 3501267 4774455 5835445 7502715 10503801 17506335 52519005