Search a number
-
+
29028672 = 2633107157
BaseRepresentation
bin110111010111…
…1000101000000
32000121210212000
41232233011000
524412404142
62514104000
7501511461
oct156570500
960553760
1029028672
1115427742
12987b000
136024b3a
143bd8d68
15283614c
hex1baf140

29028672 has 112 divisors (see below), whose sum is σ = 86685120. Its totient is φ = 9524736.

The previous prime is 29028661. The next prime is 29028689. The reversal of 29028672 is 27682092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184818 + ... + 184974.

Almost surely, 229028672 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 29028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43342560).

29028672 is an abundant number, since it is smaller than the sum of its proper divisors (57656448).

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

29028672 is a wasteful number, since it uses less digits than its factorization.

29028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29028672 is about 5387.8262778230. The cubic root of 29028672 is about 307.3329014800.

The spelling of 29028672 in words is "twenty-nine million, twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 144 157 192 214 216 288 314 321 428 432 471 576 628 642 856 864 942 963 1256 1284 1413 1712 1728 1884 1926 2512 2568 2826 2889 3424 3768 3852 4239 5024 5136 5652 5778 6848 7536 7704 8478 10048 10272 11304 11556 15072 15408 16799 16956 20544 22608 23112 30144 30816 33598 33912 45216 46224 50397 61632 67196 67824 90432 92448 100794 134392 135648 151191 184896 201588 268784 271296 302382 403176 453573 537568 604764 806352 907146 1075136 1209528 1612704 1814292 2419056 3225408 3628584 4838112 7257168 9676224 14514336 29028672