Search a number
-
+
52905405 = 35719231153
BaseRepresentation
bin1100100111010…
…0010110111101
310200112212120110
43021310112331
5102020433110
65125540233
71211455110
oct311642675
9120485513
1052905405
1127955683
1215874679
13ac64997
147052577
1549a0a20
hex32745bd

52905405 has 64 divisors (see below), whose sum is σ = 106352640. Its totient is φ = 21897216.

The previous prime is 52905403. The next prime is 52905421. The reversal of 52905405 is 50450925.

It is a happy number.

It is not a de Polignac number, because 52905405 - 21 = 52905403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52905403) 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, 45309 + ... + 46461.

It is an arithmetic number, because the mean of its divisors is an integer number (1661760).

Almost surely, 252905405 is an apocalyptic number.

It is an amenable number.

52905405 is an abundant number, since it is smaller than the sum of its proper divisors (53447235).

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

52905405 is a wasteful number, since it uses less digits than its factorization.

52905405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 52905405 is about 7273.6101765217. The cubic root of 52905405 is about 375.4049669584.

The spelling of 52905405 in words is "fifty-two million, nine hundred five thousand, four hundred five".

Divisors: 1 3 5 7 15 19 21 23 35 57 69 95 105 115 133 161 285 345 399 437 483 665 805 1153 1311 1995 2185 2415 3059 3459 5765 6555 8071 9177 15295 17295 21907 24213 26519 40355 45885 65721 79557 109535 121065 132595 153349 185633 328605 397785 460047 503861 556899 766745 928165 1511583 2300235 2519305 2784495 3527027 7557915 10581081 17635135 52905405