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1981055448 = 233319347521
BaseRepresentation
bin111011000010100…
…1000000111011000
312010001201001012000
41312011020013120
513024122233243
6524324521000
7100043456601
oct16605100730
95101631160
101981055448
11927288309
12473550160
13257573478
1414b166da8
15b8dbe5d3
hex761481d8

1981055448 has 64 divisors (see below), whose sum is σ = 5531560800. Its totient is φ = 656916480.

The previous prime is 1981055437. The next prime is 1981055467. The reversal of 1981055448 is 8445501891.

It is a happy number.

1981055448 is a `hidden beast` number, since 1 + 98 + 1 + 0 + 554 + 4 + 8 = 666.

It is a congruent number.

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, 17928 + ... + 65448.

Almost surely, 21981055448 is an apocalyptic number.

1981055448 is a gapful number since it is divisible by the number (18) 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 1981055448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765780400).

1981055448 is an abundant number, since it is smaller than the sum of its proper divisors (3550505352).

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

1981055448 is a wasteful number, since it uses less digits than its factorization.

1981055448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47729 (or 47719 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1981055448 is about 44509.0490574670. The cubic root of 1981055448 is about 1255.9303161605.

The spelling of 1981055448 in words is "one billion, nine hundred eighty-one million, fifty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1158 1544 1737 2316 3474 4632 5211 6948 10422 13896 20844 41688 47521 95042 142563 190084 285126 380168 427689 570252 855378 1140504 1283067 1710756 2566134 3421512 5132268 9171553 10264536 18343106 27514659 36686212 55029318 73372424 82543977 110058636 165087954 220117272 247631931 330175908 495263862 660351816 990527724 1981055448