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48217216 = 273710181
BaseRepresentation
bin1011011111101…
…1110010000000
310100201200120211
42313323302000
544320422331
64441243504
71123560655
oct267736200
9110650524
1048217216
1125243343
1214193594
139cb2ac8
146591c2c
1543768b1
hex2dfbc80

48217216 has 32 divisors (see below), whose sum is σ = 98663580. Its totient is φ = 23454720.

The previous prime is 48217181. The next prime is 48217217. The reversal of 48217216 is 61271284.

It can be written as a sum of positive squares in 2 ways, for example, as 44622400 + 3594816 = 6680^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (48217217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 355 + ... + 9826.

Almost surely, 248217216 is an apocalyptic number.

It is an amenable number.

48217216 is an abundant number, since it is smaller than the sum of its proper divisors (50446364).

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

48217216 is a wasteful number, since it uses less digits than its factorization.

48217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10232 (or 10220 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 48217216 is about 6943.8617497758. The cubic root of 48217216 is about 363.9714987949.

The spelling of 48217216 in words is "forty-eight million, two hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 10181 20362 40724 81448 162896 325792 376697 651584 753394 1303168 1506788 3013576 6027152 12054304 24108608 48217216