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1040945856 = 26319433659
BaseRepresentation
bin111110000010111…
…001001011000000
32200112201112021020
4332002321023000
54112440231411
6251143025440
734536615366
oct7602711300
92615645236
101040945856
11494650035
1225073b280
131378753c2
149c369636
15615bd606
hex3e0b92c0

1040945856 has 112 divisors (see below), whose sum is σ = 2910230400. Its totient is φ = 327462912.

The previous prime is 1040945813. The next prime is 1040945863. The reversal of 1040945856 is 6585490401.

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, 1579255 + ... + 1579913.

It is an arithmetic number, because the mean of its divisors is an integer number (25984200).

Almost surely, 21040945856 is an apocalyptic number.

1040945856 is a gapful number since it is divisible by the number (16) 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 1040945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455115200).

1040945856 is an abundant number, since it is smaller than the sum of its proper divisors (1869284544).

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

1040945856 is a wasteful number, since it uses less digits than its factorization.

1040945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1040945856 is about 32263.6925351083. The cubic root of 1040945856 is about 1013.4664591181.

It can be divided in two parts, 10409 and 45856, that added together give a palindrome (56265).

The spelling of 1040945856 in words is "one billion, forty million, nine hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 433 456 608 659 866 912 1216 1299 1318 1732 1824 1977 2598 2636 3464 3648 3954 5196 5272 6928 7908 8227 10392 10544 12521 13856 15816 16454 20784 21088 24681 25042 27712 31632 32908 37563 41568 42176 49362 50084 63264 65816 75126 83136 98724 100168 126528 131632 150252 197448 200336 263264 285347 300504 394896 400672 526528 570694 601008 789792 801344 856041 1141388 1202016 1579584 1712082 2282776 2404032 3424164 4565552 5421593 6848328 9131104 10843186 13696656 16264779 18262208 21686372 27393312 32529558 43372744 54786624 65059116 86745488 130118232 173490976 260236464 346981952 520472928 1040945856