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5754672 = 2433711173
BaseRepresentation
bin10101111100111100110000
3101211100221000
4111330330300
52433122142
6323202000
766625320
oct25747460
911740830
105754672
113280630
121b16300
131266441
14a9b280
1578a14c
hex57cf30

5754672 has 160 divisors (see below), whose sum is σ = 20712960. Its totient is φ = 1486080.

The previous prime is 5754659. The next prime is 5754689. The reversal of 5754672 is 2764575.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (58800) is a multiple of the sum of its prime divisors (196).

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 31 ways as a sum of consecutive naturals, for example, 33178 + ... + 33350.

It is an arithmetic number, because the mean of its divisors is an integer number (129456).

Almost surely, 25754672 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 5754672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356480).

5754672 is an abundant number, since it is smaller than the sum of its proper divisors (14958288).

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

5754672 is a wasteful number, since it uses less digits than its factorization.

5754672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 5754672 is about 2398.8897431937. The cubic root of 5754672 is about 179.2009021532.

The spelling of 5754672 in words is "five million, seven hundred fifty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 173 176 189 198 216 231 252 264 297 308 336 346 378 396 432 462 504 519 528 594 616 692 693 756 792 924 1008 1038 1188 1211 1232 1384 1386 1512 1557 1584 1848 1903 2076 2079 2376 2422 2768 2772 3024 3114 3633 3696 3806 4152 4158 4671 4752 4844 5544 5709 6228 7266 7612 8304 8316 9342 9688 10899 11088 11418 12456 13321 14532 15224 16632 17127 18684 19376 21798 22836 24912 26642 29064 30448 32697 33264 34254 37368 39963 43596 45672 51381 53284 58128 65394 68508 74736 79926 87192 91344 102762 106568 119889 130788 137016 159852 174384 205524 213136 239778 261576 274032 319704 359667 411048 479556 523152 639408 719334 822096 959112 1438668 1918224 2877336 5754672