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48105216 = 283220879
BaseRepresentation
bin1011011110000…
…0011100000000
310100111222221200
42313200130000
544303331331
64435021200
71122613305
oct267403400
9110458850
1048105216
1125177185
121413a800
139c73b33
1465630ac
1543535e6
hex2de0700

48105216 has 54 divisors (see below), whose sum is σ = 138705840. Its totient is φ = 16034304.

The previous prime is 48105199. The next prime is 48105227. The reversal of 48105216 is 61250184.

It is a super-3 number, since 3×481052163 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48105216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8136 + ... + 12743.

Almost surely, 248105216 is an apocalyptic number.

It is an amenable number.

48105216 is an abundant number, since it is smaller than the sum of its proper divisors (90600624).

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

48105216 is a wasteful number, since it uses less digits than its factorization.

48105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20901 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 48105216 is about 6935.7923844360. The cubic root of 48105216 is about 363.6894666691.

The spelling of 48105216 in words is "forty-eight million, one hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 20879 41758 62637 83516 125274 167032 187911 250548 334064 375822 501096 668128 751644 1002192 1336256 1503288 2004384 2672512 3006576 4008768 5345024 6013152 8017536 12026304 16035072 24052608 48105216