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48767040 = 2632574159
BaseRepresentation
bin1011101000001…
…0000001000000
310101202121210200
42322002001000
544441021130
64501125200
71131340650
oct272020100
9111677720
1048767040
1125589443
12143b9800
13a14614a
146696360
154434760
hex2e82040

48767040 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 10690560.

The previous prime is 48767029. The next prime is 48767051. The reversal of 48767040 is 4076784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48767029) and next prime (48767051).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48766986 and 48767004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 826531 + ... + 826589.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 248767040 is an apocalyptic number.

48767040 is a gapful number since it is divisible by the number (40) 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 48767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

48767040 is an abundant number, since it is smaller than the sum of its proper divisors (150937920).

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

48767040 is a wasteful number, since it uses less digits than its factorization.

48767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 48767040 is about 6983.3401750165. The cubic root of 48767040 is about 365.3497367147.

The spelling of 48767040 in words is "forty-eight million, seven hundred sixty-seven thousand, forty".