Search a number
-
+
29127042 = 2327317457
BaseRepresentation
bin110111100011…
…1000110000010
32000210210210100
41233013012002
524424031132
62520143230
7502401330
oct157070602
960723710
1029127042
111549463a
129907b16
13605a849
143c22b50
15285537c
hex1bc7182

29127042 has 48 divisors (see below), whose sum is σ = 74460672. Its totient is φ = 8052480.

The previous prime is 29127037. The next prime is 29127047. The reversal of 29127042 is 24072192.

It is an interprime number because it is at equal distance from previous prime (29127037) and next prime (29127047).

It is a junction number, because it is equal to n+sod(n) for n = 29126997 and 29127015.

It is not an unprimeable number, because it can be changed into a prime (29127047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (1551264).

Almost surely, 229127042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29127042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37230336).

29127042 is an abundant number, since it is smaller than the sum of its proper divisors (45333630).

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

29127042 is a wasteful number, since it uses less digits than its factorization.

29127042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29127042 is about 5396.9474705615. The cubic root of 29127042 is about 307.6796649837.

The spelling of 29127042 in words is "twenty-nine million, one hundred twenty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 7457 14914 22371 44742 52199 67113 104398 134226 156597 231167 313194 462334 469791 693501 939582 1387002 1618169 2080503 3236338 4161006 4854507 9709014 14563521 29127042