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52400517 = 31353101251
BaseRepresentation
bin1100011111100…
…1000110000101
310122121012222220
43013321012011
5101403304032
65111042553
71204253121
oct307710605
9118535886
1052400517
1127640314
1215670459
13ab18c30
146d60581
15490112c
hex31f9185

52400517 has 32 divisors (see below), whose sum is σ = 77728896. Its totient is φ = 31200000.

The previous prime is 52400507. The next prime is 52400521. The reversal of 52400517 is 71500425.

52400517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52400517 - 216 = 52334981 is a prime.

It is a super-3 number, since 3×524005173 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52400507) 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 31 ways as a sum of consecutive naturals, for example, 208642 + ... + 208892.

It is an arithmetic number, because the mean of its divisors is an integer number (2429028).

Almost surely, 252400517 is an apocalyptic number.

It is an amenable number.

52400517 is a deficient number, since it is larger than the sum of its proper divisors (25328379).

52400517 is a wasteful number, since it uses less digits than its factorization.

52400517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 52400517 is about 7238.8201386690. The cubic root of 52400517 is about 374.2069569584.

The spelling of 52400517 in words is "fifty-two million, four hundred thousand, five hundred seventeen".

Divisors: 1 3 13 39 53 101 159 251 303 689 753 1313 2067 3263 3939 5353 9789 13303 16059 25351 39909 69589 76053 172939 208767 329563 518817 988689 1343603 4030809 17466839 52400517