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48191680 = 265732063
BaseRepresentation
bin1011011111010…
…1100011000000
310100200101120001
42313311203000
544314113210
64440525344
71123423345
oct267654300
9110611501
1048191680
1125226139
1214180854
139ca42b4
1465867cc
15436e03a
hex2df58c0

48191680 has 56 divisors (see below), whose sum is σ = 116384832. Its totient is φ = 19003392.

The previous prime is 48191677. The next prime is 48191683. The reversal of 48191680 is 8619184.

It is a happy number.

48191680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48191677) and next prime (48191683).

It is not an unprimeable number, because it can be changed into a prime (48191683) 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 7 ways as a sum of consecutive naturals, for example, 22329 + ... + 24391.

Almost surely, 248191680 is an apocalyptic number.

48191680 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 48191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58192416).

48191680 is an abundant number, since it is smaller than the sum of its proper divisors (68193152).

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

48191680 is a wasteful number, since it uses less digits than its factorization.

48191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 48191680 is about 6942.0227599742. The cubic root of 48191680 is about 363.9072339380.

The spelling of 48191680 in words is "forty-eight million, one hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2063 2336 2920 4126 4672 5840 8252 10315 11680 16504 20630 23360 33008 41260 66016 82520 132032 150599 165040 301198 330080 602396 660160 752995 1204792 1505990 2409584 3011980 4819168 6023960 9638336 12047920 24095840 48191680