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57383424 = 29337593
BaseRepresentation
bin1101101011100…
…1101000000000
310222222101021000
43122321220000
5104142232144
65405532000
71264515420
oct332715000
9128871230
1057383424
112a43401a
1217274000
13bb71cb7
14789a480
155087769
hex36b9a00

57383424 has 160 divisors (see below), whose sum is σ = 194451840. Its totient is φ = 16367616.

The previous prime is 57383399. The next prime is 57383479. The reversal of 57383424 is 42438375.

It is a happy number.

57383424 is a `hidden beast` number, since 573 + 83 + 4 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96472 + ... + 97064.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 257383424 is an apocalyptic number.

57383424 is a gapful number since it is divisible by the number (54) 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 57383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97225920).

57383424 is an abundant number, since it is smaller than the sum of its proper divisors (137068416).

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

57383424 is an equidigital number, since it uses as much as digits as its factorization.

57383424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 57383424 is about 7575.1847502223. The cubic root of 57383424 is about 385.7111139069.

The spelling of 57383424 in words is "fifty-seven million, three hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 593 672 756 768 864 896 1008 1152 1186 1344 1512 1536 1728 1779 1792 2016 2304 2372 2688 3024 3456 3558 3584 4032 4151 4608 4744 5337 5376 6048 6912 7116 8064 8302 9488 10674 10752 12096 12453 13824 14232 16011 16128 16604 18976 21348 24192 24906 28464 32022 32256 33208 37359 37952 42696 48384 49812 56928 64044 66416 74718 75904 85392 96768 99624 112077 113856 128088 132832 149436 151808 170784 199248 224154 227712 256176 265664 298872 303616 341568 398496 448308 455424 512352 531328 597744 683136 796992 896616 910848 1024704 1062656 1195488 1366272 1593984 1793232 2049408 2125312 2390976 2732544 3187968 3586464 4098816 4781952 6375936 7172928 8197632 9563904 14345856 19127808 28691712 57383424