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49794048 = 210331801
BaseRepresentation
bin1011110111110…
…0110000000000
310110200210121000
42331330300000
5100221402143
64535132000
71143146103
oct275746000
9113623530
1049794048
1126120007
1214814000
13a415745
14688273a
154588bd3
hex2f7cc00

49794048 has 88 divisors (see below), whose sum is σ = 147547760. Its totient is φ = 16588800.

The previous prime is 49794047. The next prime is 49794067. The reversal of 49794048 is 84049794.

It is a junction number, because it is equal to n+sod(n) for n = 49793994 and 49794012.

It is not an unprimeable number, because it can be changed into a prime (49794047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26748 + ... + 28548.

Almost surely, 249794048 is an apocalyptic number.

49794048 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 49794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73773880).

49794048 is an abundant number, since it is smaller than the sum of its proper divisors (97753712).

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

49794048 is a wasteful number, since it uses less digits than its factorization.

49794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 49794048 is about 7056.4897789198. The cubic root of 49794048 is about 367.8966313326.

The spelling of 49794048 in words is "forty-nine million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 1801 2304 3072 3456 3602 4608 5403 6912 7204 9216 10806 13824 14408 16209 21612 27648 28816 32418 43224 48627 57632 64836 86448 97254 115264 129672 172896 194508 230528 259344 345792 389016 461056 518688 691584 778032 922112 1037376 1383168 1556064 1844224 2074752 2766336 3112128 4149504 5532672 6224256 8299008 12448512 16598016 24897024 49794048