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1985922048 = 210311173457
BaseRepresentation
bin111011001011110…
…1100010000000000
312010101212021220110
41312113230100000
513031344001143
6525021111320
7100133026125
oct16627542000
95111767813
101985922048
1192a0016a0
124750b8540
13258588606
1414ba7274c
15b9531533
hex765ec400

1985922048 has 176 divisors, whose sum is σ = 6115846464. Its totient is φ = 566231040.

The previous prime is 1985922017. The next prime is 1985922101. The reversal of 1985922048 is 8402295891.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a junction number, because it is equal to n+sod(n) for n = 1985921988 and 1985922006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572736 + ... + 576192.

Almost surely, 21985922048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057923232).

1985922048 is an abundant number, since it is smaller than the sum of its proper divisors (4129924416).

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

1985922048 is a wasteful number, since it uses less digits than its factorization.

1985922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 1985922048 is about 44563.6853054143. The cubic root of 1985922048 is about 1256.9579017944.

The spelling of 1985922048 in words is "one billion, nine hundred eighty-five million, nine hundred twenty-two thousand, forty-eight".