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49113216 = 27351579
BaseRepresentation
bin1011101101011…
…0100010000000
310102102012200000
42323112202000
5100033110331
64512400000
71134312135
oct273264200
9112365600
1049113216
11257a5539
1214546000
13a237899
14674658c
1544a20e6
hex2ed6880

49113216 has 96 divisors (see below), whose sum is σ = 146655600. Its totient is φ = 16360704.

The previous prime is 49113191. The next prime is 49113223. The reversal of 49113216 is 61231194.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49113216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30315 + ... + 31893.

Almost surely, 249113216 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 49113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73327800).

49113216 is an abundant number, since it is smaller than the sum of its proper divisors (97542384).

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

49113216 is an equidigital number, since it uses as much as digits as its factorization.

49113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1584 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 49113216 is about 7008.0821912988. The cubic root of 49113216 is about 366.2121854827.

The spelling of 49113216 in words is "forty-nine million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1579 1728 1944 2592 3158 3456 3888 4737 5184 6316 7776 9474 10368 12632 14211 15552 18948 25264 28422 31104 37896 42633 50528 56844 75792 85266 101056 113688 127899 151584 170532 202112 227376 255798 303168 341064 383697 454752 511596 606336 682128 767394 909504 1023192 1364256 1534788 1819008 2046384 2728512 3069576 4092768 5457024 6139152 8185536 12278304 16371072 24556608 49113216