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1982375424 = 2933143401
BaseRepresentation
bin111011000101000…
…1010011000000000
312010011012002212000
41312022022120000
513024442003144
6524413104000
7100060625121
oct16612123000
95104162760
101982375424
11927aa9aa7
12473a88000
13257916213
1414b3cc048
15b9080769
hex7628a600

1982375424 has 80 divisors (see below), whose sum is σ = 5868009840. Its totient is φ = 660787200.

The previous prime is 1982375407. The next prime is 1982375429. The reversal of 1982375424 is 4245732891.

1982375424 is a `hidden beast` number, since 198 + 2 + 37 + 5 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1982375424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982375429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57877 + ... + 85524.

It is an arithmetic number, because the mean of its divisors is an integer number (73350123).

Almost surely, 21982375424 is an apocalyptic number.

It is an amenable number.

1982375424 is an abundant number, since it is smaller than the sum of its proper divisors (3885634416).

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

1982375424 is an equidigital number, since it uses as much as digits as its factorization.

1982375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143428 (or 143406 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1982375424 is about 44523.8747639960. The cubic root of 1982375424 is about 1256.2091960906.

The spelling of 1982375424 in words is "one billion, nine hundred eighty-two million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 143401 286802 430203 573604 860406 1147208 1290609 1720812 2294416 2581218 3441624 3871827 4588832 5162436 6883248 7743654 9177664 10324872 13766496 15487308 18355328 20649744 27532992 30974616 36710656 41299488 55065984 61949232 73421312 82598976 110131968 123898464 165197952 220263936 247796928 330395904 495593856 660791808 991187712 1982375424