Search a number
-
+
29150292 = 22323313407
BaseRepresentation
bin110111100110…
…0110001010100
32000211222200110
41233030301110
524430302132
62520443020
7502526163
oct157146124
960758613
1029150292
1115500056
129919470
1360682c2
143c2b3da
15285c1cc
hex1bccc54

29150292 has 48 divisors (see below), whose sum is σ = 73285632. Its totient is φ = 8991840.

The previous prime is 29150281. The next prime is 29150299. The reversal of 29150292 is 29205192.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29150299) 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 15 ways as a sum of consecutive naturals, for example, 6853 + ... + 10259.

It is an arithmetic number, because the mean of its divisors is an integer number (1526784).

Almost surely, 229150292 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 29150292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36642816).

29150292 is an abundant number, since it is smaller than the sum of its proper divisors (44135340).

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

29150292 is a wasteful number, since it uses less digits than its factorization.

29150292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 29150292 is about 5399.1010362837. The cubic root of 29150292 is about 307.7615093132.

The spelling of 29150292 in words is "twenty-nine million, one hundred fifty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 3407 4278 6814 8556 10221 13628 20442 40884 78361 105617 156722 211234 235083 313444 316851 422468 470166 633702 940332 1267404 2429191 4858382 7287573 9716764 14575146 29150292