Search a number
-
+
29612316 = 22323313461
BaseRepresentation
bin111000011110…
…1100100011100
32001201110110110
41300331210130
530040043231
62534410020
7506462166
oct160754434
961643413
1029612316
1115796198
129b00910
13619a6a6
143d0b936
1528ee046
hex1c3d91c

29612316 has 48 divisors (see below), whose sum is σ = 74446848. Its totient is φ = 9134400.

The previous prime is 29612309. The next prime is 29612333. The reversal of 29612316 is 61321692.

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 an unprimeable number.

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, 6826 + ... + 10286.

It is an arithmetic number, because the mean of its divisors is an integer number (1550976).

Almost surely, 229612316 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 29612316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37223424).

29612316 is an abundant number, since it is smaller than the sum of its proper divisors (44834532).

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

29612316 is a wasteful number, since it uses less digits than its factorization.

29612316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3520 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 29612316 is about 5441.7199486927. The cubic root of 29612316 is about 309.3789717682.

The spelling of 29612316 in words is "twenty-nine million, six hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 3461 4278 6922 8556 10383 13844 20766 41532 79603 107291 159206 214582 238809 318412 321873 429164 477618 643746 955236 1287492 2467693 4935386 7403079 9870772 14806158 29612316