Search a number
-
+
29528235 = 3251131729
BaseRepresentation
bin111000010100…
…1000010101011
32001120012010100
41300221002223
530024400420
62532520443
7505662102
oct160510253
961505110
1029528235
1115739000
129a80123
13616b339
143cc9039
1528d4190
hex1c290ab

29528235 has 96 divisors (see below), whose sum is σ = 61663680. Its totient is φ = 13009920.

The previous prime is 29528231. The next prime is 29528237. The reversal of 29528235 is 53282592.

It is not a de Polignac number, because 29528235 - 22 = 29528231 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (43200) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 29528235.

It is not an unprimeable number, because it can be changed into a prime (29528231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1018201 + ... + 1018229.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 229528235 is an apocalyptic number.

29528235 is the 4437-th pentagonal number.

29528235 is an abundant number, since it is smaller than the sum of its proper divisors (32135445).

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

29528235 is a wasteful number, since it uses less digits than its factorization.

29528235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 29528235 is about 5433.9888663854. The cubic root of 29528235 is about 309.0858780375.

The spelling of 29528235 in words is "twenty-nine million, five hundred twenty-eight thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 29 33 45 51 55 85 87 99 121 145 153 165 187 255 261 319 363 435 493 495 561 605 765 935 957 1089 1305 1331 1479 1595 1683 1815 2057 2465 2805 2871 3509 3993 4437 4785 5423 5445 6171 6655 7395 8415 10285 10527 11979 14355 16269 17545 18513 19965 22185 22627 27115 30855 31581 38599 48807 52635 59653 59895 67881 81345 92565 113135 115797 157905 178959 192995 203643 244035 298265 339405 347391 536877 578985 656183 894795 1018215 1736955 1968549 2684385 3280915 5905647 9842745 29528235