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940528896 = 2837011747
BaseRepresentation
bin111000000011110…
…101010100000000
32102112202211002120
4320003311110000
53411233411041
6233154444240
732210235516
oct7003652400
92375684076
10940528896
114429a430a
12222b93680
1311cb16b98
148ccaa4b6
1557885366
hex380f5500

940528896 has 72 divisors (see below), whose sum is σ = 2508184224. Its totient is φ = 312883200.

The previous prime is 940528879. The next prime is 940528907. The reversal of 940528896 is 698825049.

It is a congruent number.

It is an unprimeable number.

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, 537495 + ... + 539241.

It is an arithmetic number, because the mean of its divisors is an integer number (34835892).

Almost surely, 2940528896 is an apocalyptic number.

940528896 is a gapful number since it is divisible by the number (96) 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 940528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254092112).

940528896 is an abundant number, since it is smaller than the sum of its proper divisors (1567655328).

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

940528896 is a wasteful number, since it uses less digits than its factorization.

940528896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 940528896 is about 30668.0435632924. The cubic root of 940528896 is about 979.7697973803.

The spelling of 940528896 in words is "nine hundred forty million, five hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 701 768 1402 1747 2103 2804 3494 4206 5241 5608 6988 8412 10482 11216 13976 16824 20964 22432 27952 33648 41928 44864 55904 67296 83856 89728 111808 134592 167712 179456 223616 269184 335424 447232 538368 670848 1224647 1341696 2449294 3673941 4898588 7347882 9797176 14695764 19594352 29391528 39188704 58783056 78377408 117566112 156754816 235132224 313509632 470264448 940528896