Search a number
-
+
29241972 = 2234175309
BaseRepresentation
bin110111110001…
…1001001110100
32001000122110000
41233203021310
524441220342
62522431300
7503360364
oct157431164
961018400
1029241972
1115562a21
129962530
13609ac56
143c529a4
15287944c
hex1be3274

29241972 has 60 divisors (see below), whose sum is σ = 80956260. Its totient is φ = 9172224.

The previous prime is 29241967. The next prime is 29241983. The reversal of 29241972 is 27914292.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 20738916 = 2916^2 + 4554^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2854 + ... + 8162.

It is an arithmetic number, because the mean of its divisors is an integer number (1349271).

Almost surely, 229241972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29241972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40478130).

29241972 is an abundant number, since it is smaller than the sum of its proper divisors (51714288).

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

29241972 is a wasteful number, since it uses less digits than its factorization.

29241972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5331 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29241972 is about 5407.5846734009. The cubic root of 29241972 is about 308.0838165097.

The spelling of 29241972 in words is "twenty-nine million, two hundred forty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5309 5508 10618 15927 21236 31854 47781 63708 90253 95562 143343 180506 191124 270759 286686 361012 430029 541518 573372 812277 860058 1083036 1624554 1720116 2436831 3249108 4873662 7310493 9747324 14620986 29241972