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1982923848 = 233368313441
BaseRepresentation
bin111011000110001…
…0000010001001000
312010012012222011000
41312030100101020
513030112030343
6524432535000
7100065401043
oct16614202110
95105188130
101982923848
11928344044
124740b1460
13257a78a29
1414b4d1c5a
15b913ced3
hex76310448

1982923848 has 64 divisors (see below), whose sum is σ = 5516596800. Its totient is φ = 659957760.

The previous prime is 1982923793. The next prime is 1982923853. The reversal of 1982923848 is 8483292891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1982923794 and 1982923803.

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 15 ways as a sum of consecutive naturals, for example, 140808 + ... + 154248.

It is an arithmetic number, because the mean of its divisors is an integer number (86196825).

Almost surely, 21982923848 is an apocalyptic number.

1982923848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1982923848 is an abundant number, since it is smaller than the sum of its proper divisors (3533672952).

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

1982923848 is a wasteful number, since it uses less digits than its factorization.

1982923848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139 (or 14129 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1982923848 is about 44530.0331012677. The cubic root of 1982923848 is about 1256.3250288002.

The spelling of 1982923848 in words is "one billion, nine hundred eighty-two million, nine hundred twenty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 683 1366 2049 2732 4098 5464 6147 8196 12294 13441 16392 18441 24588 26882 36882 40323 49176 53764 73764 80646 107528 120969 147528 161292 241938 322584 362907 483876 725814 967752 1451628 2903256 9180203 18360406 27540609 36720812 55081218 73441624 82621827 110162436 165243654 220324872 247865481 330487308 495730962 660974616 991461924 1982923848