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49468160 = 28575521
BaseRepresentation
bin1011110010110…
…1001100000000
310110002020120002
42330231030000
5100130440120
64524135132
71140321020
oct274551400
9113066502
1049468160
1125a18185
12146974a8
13a330301
1467d9a80
154522375
hex2f2d300

49468160 has 72 divisors (see below), whose sum is σ = 135443616. Its totient is φ = 16957440.

The previous prime is 49468129. The next prime is 49468163. The reversal of 49468160 is 6186494.

It is not an unprimeable number, because it can be changed into a prime (49468163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6200 + ... + 11720.

Almost surely, 249468160 is an apocalyptic number.

49468160 is a gapful number since it is divisible by the number (40) 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 49468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67721808).

49468160 is an abundant number, since it is smaller than the sum of its proper divisors (85975456).

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

49468160 is an equidigital number, since it uses as much as digits as its factorization.

49468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 49468160 is about 7033.3605054767. The cubic root of 49468160 is about 367.0922807935.

The spelling of 49468160 in words is "forty-nine million, four hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 5521 8960 11042 22084 27605 38647 44168 55210 77294 88336 110420 154588 176672 193235 220840 309176 353344 386470 441680 618352 706688 772940 883360 1236704 1413376 1545880 1766720 2473408 3091760 3533440 4946816 6183520 7066880 9893632 12367040 24734080 49468160