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52410105 = 33511291217
BaseRepresentation
bin1100011111101…
…1011011111001
310122121201011000
43013323123321
5101404110410
65111155213
71204323066
oct307733371
9118551130
1052410105
1127647540
1215675b09
13ab203c7
146d63c6d
154903dc0
hex31fb6f9

52410105 has 64 divisors (see below), whose sum is σ = 105235200. Its totient is φ = 24514560.

The previous prime is 52410073. The next prime is 52410107. The reversal of 52410105 is 50101425.

It is not a de Polignac number, because 52410105 - 25 = 52410073 is a prime.

It is a super-3 number, since 3×524101053 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (52410107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42457 + ... + 43673.

It is an arithmetic number, because the mean of its divisors is an integer number (1644300).

Almost surely, 252410105 is an apocalyptic number.

52410105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52410105 is an abundant number, since it is smaller than the sum of its proper divisors (52825095).

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

52410105 is a wasteful number, since it uses less digits than its factorization.

52410105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 52410105 is about 7239.4823709986. The cubic root of 52410105 is about 374.2297791092.

It can be divided in two parts, 5 and 2410105, that added together give a triangular number (2410110 = T2195).

The spelling of 52410105 in words is "fifty-two million, four hundred ten thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1217 1305 1485 1595 2871 3651 3915 4785 6085 8613 10953 13387 14355 18255 32859 35293 40161 43065 54765 66935 105879 120483 164295 176465 200805 317637 361449 388223 529395 602415 952911 1164669 1588185 1807245 1941115 3494007 4764555 5823345 10482021 17470035 52410105