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48672096 = 2531146091
BaseRepresentation
bin1011100110101…
…0110101100000
310101120210120020
42321222311200
544430001341
64455113440
71130464104
oct271526540
9111523506
1048672096
1125524080
1214372880
13a111b75
14666d904
154416566
hex2e6ad60

48672096 has 48 divisors (see below), whose sum is σ = 139382208. Its totient is φ = 14748800.

The previous prime is 48672089. The next prime is 48672103. The reversal of 48672096 is 69027684.

48672096 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 (48672089) and next prime (48672103).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 21990 + ... + 24101.

It is an arithmetic number, because the mean of its divisors is an integer number (2903796).

Almost surely, 248672096 is an apocalyptic number.

It is an amenable number.

48672096 is an abundant number, since it is smaller than the sum of its proper divisors (90710112).

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

48672096 is a wasteful number, since it uses less digits than its factorization.

48672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46115 (or 46107 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 48672096 is about 6976.5389700051. The cubic root of 48672096 is about 365.1124842531.

The spelling of 48672096 in words is "forty-eight million, six hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 46091 92182 138273 184364 276546 368728 507001 553092 737456 1014002 1106184 1474912 1521003 2028004 2212368 3042006 4056008 4424736 6084012 8112016 12168024 16224032 24336048 48672096