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5945856 = 2937279
BaseRepresentation
bin10110101011101000000000
3102012002011220
4112223220000
53010231411
6331235040
7101352600
oct26535000
912162156
105945856
1133a1234
121ba8a80
131302477
14b0ac00
157c6b06
hex5aba00

5945856 has 120 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 1677312.

The previous prime is 5945851. The next prime is 5945857. The reversal of 5945856 is 6585495.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5945851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75225 + ... + 75303.

It is an arithmetic number, because the mean of its divisors is an integer number (155496).

Almost surely, 25945856 is an apocalyptic number.

5945856 is a gapful number since it is divisible by the number (56) 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 5945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

5945856 is an abundant number, since it is smaller than the sum of its proper divisors (12713664).

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

5945856 is an equidigital number, since it uses as much as digits as its factorization.

5945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 5945856 is about 2438.4125983927. The cubic root of 5945856 is about 181.1638169740.

The spelling of 5945856 in words is "five million, nine hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 79 84 96 98 112 128 147 158 168 192 196 224 237 256 294 316 336 384 392 448 474 512 553 588 632 672 768 784 896 948 1106 1176 1264 1344 1536 1568 1659 1792 1896 2212 2352 2528 2688 3136 3318 3584 3792 3871 4424 4704 5056 5376 6272 6636 7584 7742 8848 9408 10112 10752 11613 12544 13272 15168 15484 17696 18816 20224 23226 25088 26544 30336 30968 35392 37632 40448 46452 53088 60672 61936 70784 75264 92904 106176 121344 123872 141568 185808 212352 247744 283136 371616 424704 495488 743232 849408 990976 1486464 1981952 2972928 5945856