Search a number
-
+
52657605 = 325721113167
BaseRepresentation
bin1100100011011…
…1110111000101
310200002021122200
43020313313011
5101440020410
65120345113
71206403500
oct310676705
9120067580
1052657605
11277a6490
1215775199
13aba8c60
146dca137
1549523c0
hex3237dc5

52657605 has 144 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 20079360.

The previous prime is 52657547. The next prime is 52657609. The reversal of 52657605 is 50675625.

It is not a de Polignac number, because 52657605 - 29 = 52657093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52657605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52657609) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315232 + ... + 315398.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 252657605 is an apocalyptic number.

52657605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52657605 is an abundant number, since it is smaller than the sum of its proper divisors (72826299).

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

52657605 is a wasteful number, since it uses less digits than its factorization.

52657605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 52657605 is about 7256.5560012998. The cubic root of 52657605 is about 374.8179382904.

The spelling of 52657605 in words is "fifty-two million, six hundred fifty-seven thousand, six hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 49 55 63 65 77 91 99 105 117 143 147 165 167 195 231 245 273 315 385 429 441 455 495 501 539 585 637 693 715 735 819 835 1001 1155 1169 1287 1365 1503 1617 1837 1911 2145 2171 2205 2505 2695 3003 3185 3465 3507 4095 4851 5005 5511 5733 5845 6435 6513 7007 7515 8085 8183 9009 9185 9555 10521 10855 12859 15015 15197 16533 17535 19539 21021 23881 24255 24549 27555 28665 32565 35035 38577 40915 45045 45591 52605 63063 64295 71643 73647 75985 82665 90013 97695 105105 106379 115731 119405 122745 136773 167167 192885 214929 227955 270039 315315 319137 358215 368235 450065 501501 531895 578655 683865 810117 835835 957411 1074645 1170169 1350195 1504503 1595685 2507505 3510507 4050585 4787055 5850845 7522515 10531521 17552535 52657605