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48761856 = 21032111337
BaseRepresentation
bin1011101000000…
…0110000000000
310101202100200200
42322000300000
544440334411
64501045200
71131316563
oct272006000
9111670620
1048761856
1125585560
12143b6800
13a143990
1466944da
154432e56
hex2e80c00

48761856 has 264 divisors, whose sum is σ = 169884624. Its totient is φ = 13271040.

The previous prime is 48761851. The next prime is 48761857. The reversal of 48761856 is 65816784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (48761851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317870 + ... + 1317906.

Almost surely, 248761856 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 48761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942312).

48761856 is an abundant number, since it is smaller than the sum of its proper divisors (121122768).

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

48761856 is a wasteful number, since it uses less digits than its factorization.

48761856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48761856 is about 6982.9689960646. The cubic root of 48761856 is about 365.3367905380.

The spelling of 48761856 in words is "forty-eight million, seven hundred sixty-one thousand, eight hundred fifty-six".