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29693412 = 22337231181
BaseRepresentation
bin111000101000…
…1010111100100
32001212120201000
41301101113210
530100142122
62540233300
7510250500
oct161212744
961776630
1029693412
1115841111
129b3b830
1361c8588
143d2d300
1529180ac
hex1c515e4

29693412 has 144 divisors (see below), whose sum is σ = 92951040. Its totient is φ = 8164800.

The previous prime is 29693399. The next prime is 29693413. The reversal of 29693412 is 21439692.

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

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

It is not an unprimeable number, because it can be changed into a prime (29693413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163962 + ... + 164142.

Almost surely, 229693412 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 29693412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46475520).

29693412 is an abundant number, since it is smaller than the sum of its proper divisors (63257628).

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

29693412 is a wasteful number, since it uses less digits than its factorization.

29693412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 29693412 is about 5449.1661747464. The cubic root of 29693412 is about 309.6611350938.

The spelling of 29693412 in words is "twenty-nine million, six hundred ninety-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 181 186 189 196 217 252 279 294 362 372 378 434 441 543 558 588 651 724 756 837 868 882 1086 1116 1267 1302 1323 1519 1629 1674 1764 1953 2172 2534 2604 2646 3038 3258 3348 3801 3906 4557 4887 5068 5292 5611 5859 6076 6516 7602 7812 8869 9114 9774 11222 11403 11718 13671 15204 16833 17738 18228 19548 22444 22806 23436 26607 27342 33666 34209 35476 39277 41013 45612 50499 53214 54684 67332 68418 78554 79821 82026 100998 106428 117831 136836 151497 157108 159642 164052 201996 235662 239463 274939 302994 319284 353493 471324 478926 549878 605988 706986 824817 957852 1060479 1099756 1413972 1649634 2120958 2474451 3299268 4241916 4948902 7423353 9897804 14846706 29693412