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48119936 = 273167181
BaseRepresentation
bin1011011110010…
…0000010000000
310100112202010212
42313210002000
544304314221
64435213252
71123004234
oct267440200
9110482125
1048119936
1125187247
1214147228
139c7a747
1465685c4
154357b5b
hex2de4080

48119936 has 64 divisors (see below), whose sum is σ = 100988160. Its totient is φ = 22809600.

The previous prime is 48119899. The next prime is 48119941. The reversal of 48119936 is 63991184.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48119893 and 48119902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265766 + ... + 265946.

It is an arithmetic number, because the mean of its divisors is an integer number (1577940).

Almost surely, 248119936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48119936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50494080).

48119936 is an abundant number, since it is smaller than the sum of its proper divisors (52868224).

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

48119936 is a wasteful number, since it uses less digits than its factorization.

48119936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 48119936 is about 6936.8534653689. The cubic root of 48119936 is about 363.7265587174.

The spelling of 48119936 in words is "forty-eight million, one hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 181 248 268 362 496 536 724 992 1072 1448 1984 2077 2144 2896 3968 4154 4288 5611 5792 8308 8576 11222 11584 12127 16616 22444 23168 24254 33232 44888 48508 66464 89776 97016 132928 179552 194032 265856 359104 375937 388064 718208 751874 776128 1503748 1552256 3007496 6014992 12029984 24059968 48119936