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48263936 = 287231171
BaseRepresentation
bin1011100000011…
…1001100000000
310100211001200012
42320013030000
544323421221
64442244052
71124144120
oct270071400
9110731605
1048263936
1125275456
12141b6628
139ccb156
1465a4c80
15438565b
hex2e07300

48263936 has 72 divisors (see below), whose sum is σ = 114987264. Its totient is φ = 19768320.

The previous prime is 48263923. The next prime is 48263939. The reversal of 48263936 is 63936284.

It is a junction number, because it is equal to n+sod(n) for n = 48263893 and 48263902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48263939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40631 + ... + 41801.

Almost surely, 248263936 is an apocalyptic number.

48263936 is a gapful number since it is divisible by the number (46) 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 48263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493632).

48263936 is an abundant number, since it is smaller than the sum of its proper divisors (66723328).

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

48263936 is a wasteful number, since it uses less digits than its factorization.

48263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1203 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 48263936 is about 6947.2250575320. The cubic root of 48263936 is about 364.0890173947.

The spelling of 48263936 in words is "forty-eight million, two hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1171 1288 1472 1792 2342 2576 2944 4684 5152 5888 8197 9368 10304 16394 18736 20608 26933 32788 37472 41216 53866 65576 74944 107732 131152 149888 188531 215464 262304 299776 377062 430928 524608 754124 861856 1049216 1508248 1723712 2098432 3016496 3447424 6032992 6894848 12065984 24131968 48263936