Search a number
-
+
29111136 = 253714271
BaseRepresentation
bin110111100001…
…1001101100000
32000202222222020
41233003031200
524423024021
62515541440
7502304055
oct157031540
960688866
1029111136
111548369a
1298ba880
136053532
143c1b02c
1528507c6
hex1bc3360

29111136 has 48 divisors (see below), whose sum is σ = 77511168. Its totient is φ = 9564800.

The previous prime is 29111111. The next prime is 29111141. The reversal of 29111136 is 63111192.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4681 + ... + 8951.

It is an arithmetic number, because the mean of its divisors is an integer number (1614816).

Almost surely, 229111136 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 29111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38755584).

29111136 is an abundant number, since it is smaller than the sum of its proper divisors (48400032).

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

29111136 is a wasteful number, since it uses less digits than its factorization.

29111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4347 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 29111136 is about 5395.4736585401. The cubic root of 29111136 is about 307.6236478083.

The spelling of 29111136 in words is "twenty-nine million, one hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 4271 6816 8542 12813 17084 25626 34168 51252 68336 102504 136672 205008 303241 410016 606482 909723 1212964 1819446 2425928 3638892 4851856 7277784 9703712 14555568 29111136