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5709312 = 2933759
BaseRepresentation
bin10101110001111000000000
3101202001201000
4111301320000
52430144222
6322212000
766346140
oct25617000
911661630
105709312
11324a544
121ab4000
13124b8bb
14a88920
1577b9ac
hex571e00

5709312 has 160 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 1603584.

The previous prime is 5709307. The next prime is 5709349. The reversal of 5709312 is 2139075.

5709312 is a `hidden beast` number, since 570 + 93 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96739 + ... + 96797.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 25709312 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 5709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

5709312 is an abundant number, since it is smaller than the sum of its proper divisors (13932288).

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

5709312 is an equidigital number, since it uses as much as digits as its factorization.

5709312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5709312 is about 2389.4166652135. The cubic root of 5709312 is about 178.7288217203.

The spelling of 5709312 in words is "five million, seven hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 59 63 64 72 84 96 108 112 118 126 128 144 168 177 189 192 216 224 236 252 256 288 336 354 378 384 413 432 448 472 504 512 531 576 672 708 756 768 826 864 896 944 1008 1062 1152 1239 1344 1416 1512 1536 1593 1652 1728 1792 1888 2016 2124 2304 2478 2688 2832 3024 3186 3304 3456 3584 3717 3776 4032 4248 4608 4956 5376 5664 6048 6372 6608 6912 7434 7552 8064 8496 9912 10752 11151 11328 12096 12744 13216 13824 14868 15104 16128 16992 19824 22302 22656 24192 25488 26432 29736 30208 32256 33984 39648 44604 45312 48384 50976 52864 59472 67968 79296 89208 90624 96768 101952 105728 118944 135936 158592 178416 203904 211456 237888 271872 317184 356832 407808 475776 634368 713664 815616 951552 1427328 1903104 2854656 5709312