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1982308096 = 2847672459
BaseRepresentation
bin111011000100111…
…1001111100000000
312010011001200111101
41312021321330000
513024432324341
6524411424144
7100060224616
oct16611717400
95104050441
101982308096
11927a6345a
12473a55054
132578c1692
1414b3b16b6
15b906a831
hex76279f00

1982308096 has 72 divisors (see below), whose sum is σ = 4103043840. Its totient is φ = 955198464.

The previous prime is 1982308093. The next prime is 1982308099. The reversal of 1982308096 is 6908032891.

It is an interprime number because it is at equal distance from previous prime (1982308093) and next prime (1982308099).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982308093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804915 + ... + 807373.

It is an arithmetic number, because the mean of its divisors is an integer number (56986720).

Almost surely, 21982308096 is an apocalyptic number.

1982308096 is a gapful number since it is divisible by the number (16) 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 1982308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051521920).

1982308096 is an abundant number, since it is smaller than the sum of its proper divisors (2120735744).

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

1982308096 is an equidigital number, since it uses as much as digits as its factorization.

1982308096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 1982308096 is about 44523.1186688444. The cubic root of 1982308096 is about 1256.1949742620.

It can be divided in two parts, 1982 and 308096, that added together give a triangular number (310078 = T787).

The spelling of 1982308096 in words is "one billion, nine hundred eighty-two million, three hundred eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 64 67 94 128 134 188 256 268 376 536 752 1072 1504 2144 2459 3008 3149 4288 4918 6016 6298 8576 9836 12032 12596 17152 19672 25192 39344 50384 78688 100768 115573 157376 164753 201536 231146 314752 329506 403072 462292 629504 659012 806144 924584 1318024 1849168 2636048 3698336 5272096 7396672 7743391 10544192 14793344 15486782 21088384 29586688 30973564 42176768 61947128 123894256 247788512 495577024 991154048 1982308096