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48195648 = 26361033
BaseRepresentation
bin1011011111011…
…0100001000000
310100200121000000
42313312201000
544314230043
64441000000
71123441044
oct267664100
9110617000
1048195648
1125229116
1214183000
139ca6047
146588024
1543702d3
hex2df6840

48195648 has 98 divisors (see below), whose sum is σ = 143530574. Its totient is φ = 16049664.

The previous prime is 48195619. The next prime is 48195661. The reversal of 48195648 is 84659184.

48195648 is a `hidden beast` number, since 4 + 81 + 9 + 564 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 419904 = 6912^2 + 648^2 .

It is a super-2 number, since 2×481956482 = 4645640972279808, which contains 22 as substring.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46140 + ... + 47172.

Almost surely, 248195648 is an apocalyptic number.

48195648 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 48195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71765287).

48195648 is an abundant number, since it is smaller than the sum of its proper divisors (95334926).

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

48195648 is an equidigital number, since it uses as much as digits as its factorization.

48195648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1038 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 48195648 is about 6942.3085497549. The cubic root of 48195648 is about 363.9172214453.

The spelling of 48195648 in words is "forty-eight million, one hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1033 1296 1458 1728 1944 2066 2592 2916 3099 3888 4132 5184 5832 6198 7776 8264 9297 11664 12396 15552 16528 18594 23328 24792 27891 33056 37188 46656 49584 55782 66112 74376 83673 99168 111564 148752 167346 198336 223128 251019 297504 334692 446256 502038 595008 669384 753057 892512 1004076 1338768 1506114 1785024 2008152 2677536 3012228 4016304 5355072 6024456 8032608 12048912 16065216 24097824 48195648