Search a number
-
+
29448936 = 233211192103
BaseRepresentation
bin111000001010…
…1101011101000
32001102011100100
41300111223220
530014331221
62531105400
7505211646
oct160255350
961364310
1029448936
1115694470
129a42260
13614120a
143ca8196
1528ba926
hex1c15ae8

29448936 has 144 divisors (see below), whose sum is σ = 92720160. Its totient is φ = 8372160.

The previous prime is 29448919. The next prime is 29448941. The reversal of 29448936 is 63984492.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29448891 and 29448900.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285861 + ... + 285963.

It is an arithmetic number, because the mean of its divisors is an integer number (643890).

Almost surely, 229448936 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 29448936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360080).

29448936 is an abundant number, since it is smaller than the sum of its proper divisors (63271224).

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

29448936 is a wasteful number, since it uses less digits than its factorization.

29448936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 29448936 is about 5426.6873873478. The cubic root of 29448936 is about 308.8089433815.

The spelling of 29448936 in words is "twenty-nine million, four hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 103 114 132 152 171 198 206 209 228 264 309 342 361 396 412 418 456 618 627 684 722 792 824 836 927 1083 1133 1236 1254 1368 1444 1672 1854 1881 1957 2166 2266 2472 2508 2888 3249 3399 3708 3762 3914 3971 4332 4532 5016 5871 6498 6798 7416 7524 7828 7942 8664 9064 10197 11742 11913 12996 13596 15048 15656 15884 17613 20394 21527 23484 23826 25992 27192 31768 35226 35739 37183 40788 43054 46968 47652 64581 70452 71478 74366 81576 86108 95304 111549 129162 140904 142956 148732 172216 193743 223098 258324 285912 297464 334647 387486 409013 446196 516648 669294 774972 818026 892392 1227039 1338588 1549944 1636052 2454078 2677176 3272104 3681117 4908156 7362234 9816312 14724468 29448936