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48191808 = 2637231559
BaseRepresentation
bin1011011111010…
…1100101000000
310100200101201210
42313311211000
544314114213
64440530120
71123423620
oct267654500
9110611653
1048191808
1125226245
1214180940
139ca4382
146586880
15436e0c3
hex2df5940

48191808 has 112 divisors (see below), whose sum is σ = 152156160. Its totient is φ = 13161984.

The previous prime is 48191807. The next prime is 48191813. The reversal of 48191808 is 80819184.

It is a happy number.

48191808 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (48191807) 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, 30133 + ... + 31691.

Almost surely, 248191808 is an apocalyptic number.

48191808 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 48191808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

48191808 is an abundant number, since it is smaller than the sum of its proper divisors (103964352).

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

48191808 is a wasteful number, since it uses less digits than its factorization.

48191808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 48191808 is about 6942.0319791830. The cubic root of 48191808 is about 363.9075561242.

The spelling of 48191808 in words is "forty-eight million, one hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1559 1932 2208 2576 3118 3864 4416 4677 5152 6236 7728 9354 10304 10913 12472 15456 18708 21826 24944 30912 32739 35857 37416 43652 49888 65478 71714 74832 87304 99776 107571 130956 143428 149664 174608 215142 250999 261912 286856 299328 349216 430284 501998 523824 573712 698432 752997 860568 1003996 1047648 1147424 1505994 1721136 2007992 2095296 2294848 3011988 3442272 4015984 6023976 6884544 8031968 12047952 16063936 24095904 48191808