Search a number
-
+
52172505 = 3457211239
BaseRepresentation
bin1100011100000…
…1011011011001
310122011122020000
43013001123121
5101324010010
65102123213
71202313300
oct307013331
9118148200
1052172505
11274a4a80
1215580509
13aa69208
146d01437
1548a87c0
hex31c16d9

52172505 has 120 divisors (see below), whose sum is σ = 119180160. Its totient is φ = 21591360.

The previous prime is 52172503. The next prime is 52172509. The reversal of 52172505 is 50527125.

It is a happy number.

52172505 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 52172505 - 21 = 52172503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52172503) 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 119 ways as a sum of consecutive naturals, for example, 218176 + ... + 218414.

It is an arithmetic number, because the mean of its divisors is an integer number (993168).

Almost surely, 252172505 is an apocalyptic number.

52172505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52172505 is an abundant number, since it is smaller than the sum of its proper divisors (67007655).

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

52172505 is a wasteful number, since it uses less digits than its factorization.

52172505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 52172505 is about 7223.0537170922. The cubic root of 52172505 is about 373.6634016731.

The spelling of 52172505 in words is "fifty-two million, one hundred seventy-two thousand, five hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 135 147 165 189 231 239 245 297 315 385 405 441 495 539 567 693 717 735 891 945 1155 1195 1323 1485 1617 1673 2079 2151 2205 2629 2695 2835 3465 3585 3969 4455 4851 5019 6237 6453 6615 7887 8085 8365 10395 10755 11711 13145 14553 15057 18403 19359 19845 23661 24255 25095 31185 32265 35133 39435 43659 45171 55209 58555 70983 72765 75285 92015 96795 105399 118305 128821 135513 165627 175665 212949 218295 225855 276045 316197 354915 386463 496881 526995 644105 677565 828135 948591 1064745 1159389 1490643 1580985 1932315 2484405 3478167 4742955 5796945 7453215 10434501 17390835 52172505