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29483496 = 23327261137
BaseRepresentation
bin111000001111…
…0000111101000
32001110220202100
41300132013220
530021432441
62531533400
7505414500
oct160360750
961426670
1029483496
1115708429
129a5a260
136153b73
143cb6a00
1528c5cb6
hex1c1e1e8

29483496 has 144 divisors (see below), whose sum is σ = 95099940. Its totient is φ = 8225280.

The previous prime is 29483483. The next prime is 29483513. The reversal of 29483496 is 69438492.

It can be written as a sum of positive squares in 2 ways, for example, as 27562500 + 1920996 = 5250^2 + 1386^2 .

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

It is a congruent number.

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, 215140 + ... + 215276.

Almost surely, 229483496 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 29483496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47549970).

29483496 is an abundant number, since it is smaller than the sum of its proper divisors (65616444).

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

29483496 is a wasteful number, since it uses less digits than its factorization.

29483496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

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

The square root of 29483496 is about 5429.8707166930. The cubic root of 29483496 is about 308.9296977714.

The spelling of 29483496 in words is "twenty-nine million, four hundred eighty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 137 147 168 183 196 244 252 274 294 366 392 411 427 441 488 504 548 549 588 732 822 854 882 959 1096 1098 1176 1233 1281 1464 1644 1708 1764 1918 2196 2466 2562 2877 2989 3288 3416 3528 3836 3843 4392 4932 5124 5754 5978 6713 7672 7686 8357 8631 8967 9864 10248 11508 11956 13426 15372 16714 17262 17934 20139 23016 23912 25071 26852 26901 30744 33428 34524 35868 40278 50142 53704 53802 58499 60417 66856 69048 71736 75213 80556 100284 107604 116998 120834 150426 161112 175497 200568 215208 233996 241668 300852 350994 409493 467992 483336 526491 601704 701988 818986 1052982 1228479 1403976 1637972 2105964 2456958 3275944 3685437 4211928 4913916 7370874 9827832 14741748 29483496