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49493808 = 24337131259
BaseRepresentation
bin1011110011001…
…1011100110000
310110010112202000
42330303130300
5100132300213
64524454000
71140455550
oct274633460
9113115660
1049493808
1125a35481
12146aa300
13a33bba0
146805160
154529c73
hex2f33730

49493808 has 160 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 13042944.

The previous prime is 49493789. The next prime is 49493819. The reversal of 49493808 is 80839494.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38683 + ... + 39941.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 249493808 is an apocalyptic number.

49493808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49493808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

49493808 is an abundant number, since it is smaller than the sum of its proper divisors (125494992).

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

49493808 is a wasteful number, since it uses less digits than its factorization.

49493808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 49493808 is about 7035.1835796943. The cubic root of 49493808 is about 367.1557125451.

The spelling of 49493808 in words is "forty-nine million, four hundred ninety-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1259 1404 1456 1512 1638 1872 2184 2457 2518 2808 3024 3276 3777 4368 4914 5036 5616 6552 7554 8813 9828 10072 11331 13104 15108 16367 17626 19656 20144 22662 26439 30216 32734 33993 35252 39312 45324 49101 52878 60432 65468 67986 70504 79317 90648 98202 105756 114569 130936 135972 141008 147303 158634 181296 196404 211512 229138 237951 261872 271944 294606 317268 343707 392808 423024 441909 458276 475902 543888 589212 634536 687414 785616 883818 916552 951804 1031121 1178424 1269072 1374828 1767636 1833104 1903608 2062242 2356848 2749656 3093363 3535272 3807216 4124484 5499312 6186726 7070544 8248968 12373452 16497936 24746904 49493808