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8973012928 = 261156322639
BaseRepresentation
bin10000101101101010…
…10100111111000000
3212011100022021201011
420112311110333000
5121334042403203
64042214450304
7435234231355
oct102665247700
925140267634
108973012928
113895039470
1218a5063994
13acccc1809
146119cc62c
15377b4a76d
hex216d54fc0

8973012928 has 56 divisors (see below), whose sum is σ = 19459895040. Its totient is φ = 4071217920.

The previous prime is 8973012911. The next prime is 8973012929. The reversal of 8973012928 is 8292103798.

It is a super-2 number, since 2×89730129282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8973012929) 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, 385033 + ... + 407671.

Almost surely, 28973012928 is an apocalyptic number.

8973012928 is a gapful number since it is divisible by the number (88) 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 8973012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729947520).

8973012928 is an abundant number, since it is smaller than the sum of its proper divisors (10486882112).

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

8973012928 is a wasteful number, since it uses less digits than its factorization.

8973012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23225 (or 23215 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 8973012928 is about 94725.9886620351. The cubic root of 8973012928 is about 2078.0026536427.

The spelling of 8973012928 in words is "eight billion, nine hundred seventy-three million, twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 563 704 1126 2252 4504 6193 9008 12386 18016 22639 24772 36032 45278 49544 90556 99088 181112 198176 249029 362224 396352 498058 724448 996116 1448896 1992232 3984464 7968928 12745757 15937856 25491514 50983028 101966056 140203327 203932112 280406654 407864224 560813308 815728448 1121626616 2243253232 4486506464 8973012928