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1832742768 = 243101378041
BaseRepresentation
bin110110100111101…
…0110111101110000
311201201121222102210
41231033112331300
512223140232033
6501510012120
763263025243
oct15517267560
94651558383
101832742768
1186059884a
12431947040
1323291559c
1413559b25a
15aad74d63
hex6d3d6f70

1832742768 has 40 divisors (see below), whose sum is σ = 4781475216. Its totient is φ = 604864000.

The previous prime is 1832742767. The next prime is 1832742827. The reversal of 1832742768 is 8672472381.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832742761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184173 + ... + 193868.

Almost surely, 21832742768 is an apocalyptic number.

It is an amenable number.

1832742768 is an abundant number, since it is smaller than the sum of its proper divisors (2948732448).

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

1832742768 is a wasteful number, since it uses less digits than its factorization.

1832742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378153 (or 378147 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 1832742768 is about 42810.5450560957. The cubic root of 1832742768 is about 1223.7719789690.

The spelling of 1832742768 in words is "one billion, eight hundred thirty-two million, seven hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 378041 756082 1134123 1512164 2268246 3024328 4536492 6048656 9072984 18145968 38182141 76364282 114546423 152728564 229092846 305457128 458185692 610914256 916371384 1832742768