Search a number
-
+
29109312 = 263297521
BaseRepresentation
bin110111100001…
…0110001000000
32000202220110200
41233002301000
524422444222
62515525200
7502265541
oct157026100
960686420
1029109312
1115482291
1298b9800
13605275b
143c1a4c8
15284eeac
hex1bc2c40

29109312 has 84 divisors (see below), whose sum is σ = 84458556. Its totient is φ = 9584640.

The previous prime is 29109307. The next prime is 29109317. The reversal of 29109312 is 21390192.

It is an interprime number because it is at equal distance from previous prime (29109307) and next prime (29109317).

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 18455616 = 3264^2 + 4296^2 .

It is a super-2 number, since 2×291093122 = 1694704090226688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29109317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55612 + ... + 56132.

It is an arithmetic number, because the mean of its divisors is an integer number (1005459).

Almost surely, 229109312 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 29109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42229278).

29109312 is an abundant number, since it is smaller than the sum of its proper divisors (55349244).

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

29109312 is a wasteful number, since it uses less digits than its factorization.

29109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 29109312 is about 5395.3046253201. The cubic root of 29109312 is about 307.6172228070.

The spelling of 29109312 in words is "twenty-nine million, one hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 521 576 582 776 873 1042 1164 1552 1563 1746 2084 2328 3104 3126 3492 4168 4656 4689 6208 6252 6984 8336 9312 9378 12504 13968 16672 18624 18756 25008 27936 33344 37512 50016 50537 55872 75024 100032 101074 150048 151611 202148 300096 303222 404296 454833 606444 808592 909666 1212888 1617184 1819332 2425776 3234368 3638664 4851552 7277328 9703104 14554656 29109312