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4148242380 = 2232523045791
BaseRepresentation
bin1111011101000001…
…0010011111001100
3101201002122112202200
43313100102133030
531443422224010
61523343121500
7204540323052
oct36720223714
911632575680
104148242380
111839635997
129792a3290
135115565b9
142b4d021d2
151942a8cc0
hexf74127cc

4148242380 has 36 divisors (see below), whose sum is σ = 12583002432. Its totient is φ = 1106197920.

The previous prime is 4148242367. The next prime is 4148242409. The reversal of 4148242380 is 832428414.

4148242380 is a `hidden beast` number, since 414 + 8 + 2 + 4 + 238 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11522716 + ... + 11523075.

Almost surely, 24148242380 is an apocalyptic number.

It is an amenable number.

4148242380 is an abundant number, since it is smaller than the sum of its proper divisors (8434760052).

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

4148242380 is a wasteful number, since it uses less digits than its factorization.

4148242380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23045806 (or 23045801 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4148242380 is about 64406.8504120486. The cubic root of 4148242380 is about 1606.7736760814.

The spelling of 4148242380 in words is "four billion, one hundred forty-eight million, two hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 23045791 46091582 69137373 92183164 115228955 138274746 207412119 230457910 276549492 345686865 414824238 460915820 691373730 829648476 1037060595 1382747460 2074121190 4148242380