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48105088 = 27612101
BaseRepresentation
bin1011011110000…
…0011010000000
310100111222202221
42313200122000
544303330323
64435020424
71122613033
oct267403200
9110458687
1048105088
1125177079
121413a714
139c73a65
14656301a
15435355d
hex2de0680

48105088 has 48 divisors (see below), whose sum is σ = 98395830. Its totient is φ = 23424000.

The previous prime is 48105073. The next prime is 48105103. The reversal of 48105088 is 88050184.

It is an interprime number because it is at equal distance from previous prime (48105073) and next prime (48105103).

It can be written as a sum of positive squares in 3 ways, for example, as 27962944 + 20142144 = 5288^2 + 4488^2 .

It is a super-3 number, since 3×481050883 (a number of 24 digits) contains 333 as substring.

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, 476238 + ... + 476338.

Almost surely, 248105088 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 48105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49197915).

48105088 is an abundant number, since it is smaller than the sum of its proper divisors (50290742).

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

48105088 is an equidigital number, since it uses as much as digits as its factorization.

48105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 48105088 is about 6935.7831569333. The cubic root of 48105088 is about 363.6891440963.

The spelling of 48105088 in words is "forty-eight million, one hundred five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 61 64 101 122 128 202 244 404 488 808 976 1616 1952 3232 3721 3904 6161 6464 7442 7808 12322 12928 14884 24644 29768 49288 59536 98576 119072 197152 238144 375821 394304 476288 751642 788608 1503284 3006568 6013136 12026272 24052544 48105088