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49112000 = 26537877
BaseRepresentation
bin1011101101011…
…0001111000000
310102102010222222
42323112033000
5100033041000
64512350212
71134305450
oct273261700
9112363888
1049112000
11257a4633
1214545368
13a237172
146745d60
1544a1a85
hex2ed63c0

49112000 has 112 divisors (see below), whose sum is σ = 139159488. Its totient is φ = 16819200.

The previous prime is 49111981. The next prime is 49112003. The reversal of 49112000 is 21194.

It is a happy number.

49112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 49112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55562 + ... + 56438.

Almost surely, 249112000 is an apocalyptic number.

49112000 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 49112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69579744).

49112000 is an abundant number, since it is smaller than the sum of its proper divisors (90047488).

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

49112000 is an equidigital number, since it uses as much as digits as its factorization.

49112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 49112000 is about 7007.9954337885. The cubic root of 49112000 is about 366.2091630939.

Adding to 49112000 its reverse (21194), we get a palindrome (49133194).

The spelling of 49112000 in words is "forty-nine million, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 877 1000 1120 1400 1600 1750 1754 2000 2240 2800 3500 3508 4000 4385 5600 6139 7000 7016 8000 8770 11200 12278 14000 14032 17540 21925 24556 28000 28064 30695 35080 43850 49112 56000 56128 61390 70160 87700 98224 109625 122780 140320 153475 175400 196448 219250 245560 280640 306950 350800 392896 438500 491120 613900 701600 767375 877000 982240 1227800 1403200 1534750 1754000 1964480 2455600 3069500 3508000 4911200 6139000 7016000 9822400 12278000 24556000 49112000