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257476380 = 22357312511
BaseRepresentation
bin11110101100011…
…00011100011100
3122221111011012020
433112030130130
51011403221010
641314340140
76244341000
oct1726143434
9587434166
10257476380
1112237a8a7
127228a650
134145c6b5
14262a4700
151790e470
hexf58c71c

257476380 has 96 divisors (see below), whose sum is σ = 840806400. Its totient is φ = 58847040.

The previous prime is 257476357. The next prime is 257476393. The reversal of 257476380 is 83674752.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14325 + ... + 26835.

It is an arithmetic number, because the mean of its divisors is an integer number (8758400).

Almost surely, 2257476380 is an apocalyptic number.

257476380 is a gapful number since it is divisible by the number (20) 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 257476380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420403200).

257476380 is an abundant number, since it is smaller than the sum of its proper divisors (583330020).

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

257476380 is a wasteful number, since it uses less digits than its factorization.

257476380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 257476380 is about 16046.0705470218. The cubic root of 257476380 is about 636.1787105086.

The spelling of 257476380 in words is "two hundred fifty-seven million, four hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6860 10290 12511 20580 25022 37533 50044 62555 75066 87577 125110 150132 175154 187665 250220 262731 350308 375330 437885 525462 613039 750660 875770 1050924 1226078 1313655 1751540 1839117 2452156 2627310 3065195 3678234 4291273 5254620 6130390 7356468 8582546 9195585 12260780 12873819 17165092 18391170 21456365 25747638 36782340 42912730 51495276 64369095 85825460 128738190 257476380