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57047424 = 2737191117
BaseRepresentation
bin1101100110011…
…1100110000000
310222100022100120
43121213212000
5104101004144
65354420240
71261616010
oct331474600
9128308316
1057047424
112a224635
1217131680
13ba85095
14780dc40
15501ce19
hex3667980

57047424 has 128 divisors (see below), whose sum is σ = 182457600. Its totient is φ = 15427584.

The previous prime is 57047411. The next prime is 57047447. The reversal of 57047424 is 42474075.

It is a tau number, because it is divible by the number of its divisors (128).

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, 50514 + ... + 51630.

It is an arithmetic number, because the mean of its divisors is an integer number (1425450).

Almost surely, 257047424 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 57047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91228800).

57047424 is an abundant number, since it is smaller than the sum of its proper divisors (125410176).

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

57047424 is a wasteful number, since it uses less digits than its factorization.

57047424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 57047424 is about 7552.9745133954. The cubic root of 57047424 is about 384.9568153058.

The spelling of 57047424 in words is "fifty-seven million, forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1117 1216 1344 1596 1824 2128 2234 2432 2688 3192 3351 3648 4256 4468 6384 6702 7296 7819 8512 8936 12768 13404 15638 17024 17872 21223 23457 25536 26808 31276 35744 42446 46914 51072 53616 62552 63669 71488 84892 93828 107232 125104 127338 142976 148561 169784 187656 214464 250208 254676 297122 339568 375312 428928 445683 500416 509352 594244 679136 750624 891366 1000832 1018704 1188488 1358272 1501248 1782732 2037408 2376976 2716544 3002496 3565464 4074816 4753952 7130928 8149632 9507904 14261856 19015808 28523712 57047424