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49168224 = 25327293
BaseRepresentation
bin1011101110001…
…1111101100000
310102112000010100
42323203331200
5100041340344
64513502400
71134631410
oct273437540
9112460110
1049168224
11258328a6
1214571a00
13a256931
14675c640
1544b3569
hex2ee3f60

49168224 has 144 divisors (see below), whose sum is σ = 165503520. Its totient is φ = 13563648.

The previous prime is 49168193. The next prime is 49168237. The reversal of 49168224 is 42286194.

It is a tau number, because it is divible by the number of its divisors (144).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695442 + ... + 1695470.

It is an arithmetic number, because the mean of its divisors is an integer number (1149330).

Almost surely, 249168224 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 49168224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82751760).

49168224 is an abundant number, since it is smaller than the sum of its proper divisors (116335296).

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

49168224 is an equidigital number, since it uses as much as digits as its factorization.

49168224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 49168224 is about 7012.0057045042. The cubic root of 49168224 is about 366.3488566641.

The spelling of 49168224 in words is "forty-nine million, one hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 841 928 1008 1044 1218 1392 1624 1682 1827 2016 2088 2436 2523 2784 3248 3364 3654 4176 4872 5046 5887 6496 6728 7308 7569 8352 9744 10092 11774 13456 14616 15138 17661 19488 20184 23548 24389 26912 29232 30276 35322 40368 47096 48778 52983 58464 60552 70644 73167 80736 94192 97556 105966 121104 141288 146334 170723 188384 195112 211932 219501 242208 282576 292668 341446 390224 423864 439002 512169 565152 585336 682892 780448 847728 878004 1024338 1170672 1365784 1536507 1695456 1756008 2048676 2341344 2731568 3073014 3512016 4097352 5463136 6146028 7024032 8194704 12292056 16389408 24584112 49168224