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29214072 = 2332478997
BaseRepresentation
bin110111101110…
…0010101111000
32000222020011200
41233130111320
524434322242
62522054200
7503213136
oct157342570
960866150
1029214072
1115543a68
12994a360
13608b344
143c46756
15287104c
hex1bdc578

29214072 has 96 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 9326592.

The previous prime is 29214067. The next prime is 29214079. The reversal of 29214072 is 27041292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29214079) 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, 301128 + ... + 301224.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 229214072 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 29214072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

29214072 is an abundant number, since it is smaller than the sum of its proper divisors (53341128).

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

29214072 is a wasteful number, since it uses less digits than its factorization.

29214072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

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

The square root of 29214072 is about 5405.0043478243. The cubic root of 29214072 is about 307.9858035847.

The spelling of 29214072 in words is "twenty-nine million, two hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 89 94 97 141 178 188 194 267 282 291 356 376 388 423 534 564 582 712 776 801 846 873 1068 1128 1164 1602 1692 1746 2136 2328 3204 3384 3492 4183 4559 6408 6984 8366 8633 9118 12549 13677 16732 17266 18236 25098 25899 27354 33464 34532 36472 37647 41031 50196 51798 54708 69064 75294 77697 82062 100392 103596 109416 150588 155394 164124 207192 301176 310788 328248 405751 621576 811502 1217253 1623004 2434506 3246008 3651759 4869012 7303518 9738024 14607036 29214072