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49781088 = 253378231
BaseRepresentation
bin1011110111100…
…1100101100000
310110200010211000
42331321211200
5100220443323
64534552000
71143063240
oct275714540
9113603730
1049781088
11261112a5
1214808600
13a40c886
14687bb20
154584e43
hex2f79960

49781088 has 96 divisors (see below), whose sum is σ = 165957120. Its totient is φ = 14221440.

The previous prime is 49781087. The next prime is 49781107. The reversal of 49781088 is 88018794.

49781088 is a `hidden beast` number, since 497 + 81 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49781087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1933 + ... + 10163.

It is an arithmetic number, because the mean of its divisors is an integer number (1728720).

Almost surely, 249781088 is an apocalyptic number.

49781088 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 49781088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978560).

49781088 is an abundant number, since it is smaller than the sum of its proper divisors (116176032).

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

49781088 is a wasteful number, since it uses less digits than its factorization.

49781088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 49781088 is about 7055.5714155552. The cubic root of 49781088 is about 367.8647108237.

The spelling of 49781088 in words is "forty-nine million, seven hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8231 16462 24693 32924 49386 57617 65848 74079 98772 115234 131696 148158 172851 197544 222237 230468 263392 296316 345702 395088 444474 460936 518553 592632 691404 790176 888948 921872 1037106 1185264 1382808 1555659 1777896 1843744 2074212 2370528 2765616 3111318 3555792 4148424 5531232 6222636 7111584 8296848 12445272 16593696 24890544 49781088