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48262032 = 243271329127
BaseRepresentation
bin1011100000011…
…0101110010000
310100210222001200
42320012232100
544323341112
64442231200
71124135430
oct270065620
9110728050
1048262032
1125273a85
12141b5500
139cca320
1465a42c0
154384cdc
hex2e06b90

48262032 has 240 divisors, whose sum is σ = 173322240. Its totient is φ = 12192768.

The previous prime is 48262001. The next prime is 48262057. The reversal of 48262032 is 23026284.

48262032 is a `hidden beast` number, since 4 + 8 + 2 + 620 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48261987 and 48262005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379953 + ... + 380079.

It is an arithmetic number, because the mean of its divisors is an integer number (722176).

Almost surely, 248262032 is an apocalyptic number.

48262032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48262032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86661120).

48262032 is an abundant number, since it is smaller than the sum of its proper divisors (125060208).

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

48262032 is a wasteful number, since it uses less digits than its factorization.

48262032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48262032 is about 6947.0880230497. The cubic root of 48262032 is about 364.0842295920.

The spelling of 48262032 in words is "forty-eight million, two hundred sixty-two thousand, thirty-two".