Search a number
-
+
29528532 = 22321174567
BaseRepresentation
bin111000010100…
…1000111010100
32001120012112100
41300221013110
530024403112
62532522100
7505663005
oct160510724
961505470
1029528532
1115739250
129a80330
13616b507
143cc91ac
1528d42dc
hex1c291d4

29528532 has 36 divisors (see below), whose sum is σ = 81428256. Its totient is φ = 8947920.

The previous prime is 29528531. The next prime is 29528533. The reversal of 29528532 is 23582592.

It is an interprime number because it is at equal distance from previous prime (29528531) and next prime (29528533).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29528531) 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 11 ways as a sum of consecutive naturals, for example, 36888 + ... + 37679.

It is an arithmetic number, because the mean of its divisors is an integer number (2261896).

Almost surely, 229528532 is an apocalyptic number.

29528532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29528532 is an abundant number, since it is smaller than the sum of its proper divisors (51899724).

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

29528532 is a wasteful number, since it uses less digits than its factorization.

29528532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74588 (or 74583 counting only the distinct ones).

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

The square root of 29528532 is about 5434.0161943079. The cubic root of 29528532 is about 309.0869143135.

The spelling of 29528532 in words is "twenty-nine million, five hundred twenty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 74567 149134 223701 298268 447402 671103 820237 894804 1342206 1640474 2460711 2684412 3280948 4921422 7382133 9842844 14764266 29528532