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940686048 = 2535196367
BaseRepresentation
bin111000000100011…
…011101011100000
32102120001210200000
4320010123223200
53411303423143
6233202100000
732211461631
oct7004335340
92376053600
10940686048
11442aa1395
1222304a600
1311cb70583
148cd0b888
15578b6bd3
hex3811bae0

940686048 has 144 divisors (see below), whose sum is σ = 2920619520. Its totient is φ = 297012096.

The previous prime is 940686011. The next prime is 940686091. The reversal of 940686048 is 840686049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 940685994 and 940686012.

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 23 ways as a sum of consecutive naturals, for example, 144561 + ... + 150927.

It is an arithmetic number, because the mean of its divisors is an integer number (20282080).

Almost surely, 2940686048 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 940686048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460309760).

940686048 is an abundant number, since it is smaller than the sum of its proper divisors (1979933472).

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

940686048 is a wasteful number, since it uses less digits than its factorization.

940686048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 940686048 is about 30670.6056021070. The cubic root of 940686048 is about 979.8243639151.

Subtracting from 940686048 its reverse (840686049), we obtain a palindrome (99999999).

The spelling of 940686048 in words is "nine hundred forty million, six hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 864 912 972 1026 1296 1368 1539 1824 1944 2052 2592 2736 3078 3888 4104 4617 5472 6156 6367 7776 8208 9234 12312 12734 16416 18468 19101 24624 25468 36936 38202 49248 50936 57303 73872 76404 101872 114606 120973 147744 152808 171909 203744 229212 241946 305616 343818 362919 458424 483892 515727 611232 687636 725838 916848 967784 1031454 1088757 1375272 1451676 1547181 1833696 1935568 2062908 2177514 2750544 2903352 3094362 3266271 3871136 4125816 4355028 5501088 5806704 6188724 6532542 8251632 8710056 9798813 11613408 12377448 13065084 16503264 17420112 19597626 24754896 26130168 29396439 34840224 39195252 49509792 52260336 58792878 78390504 104520672 117585756 156781008 235171512 313562016 470343024 940686048