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255348480 = 2835292293
BaseRepresentation
bin11110011100001…
…00111100000000
3122210111001021010
433032010330000
51010332122410
641201000520
76220266132
oct1716047400
9583431233
10255348480
11121157102
1271623140
1340b95c9a
1425cad052
151763dc20
hexf384f00

255348480 has 144 divisors (see below), whose sum is σ = 844008480. Its totient is φ = 65716224.

The previous prime is 255348479. The next prime is 255348481. The reversal of 255348480 is 84843552.

It is an interprime number because it is at equal distance from previous prime (255348479) and next prime (255348481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255348481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110214 + ... + 112506.

It is an arithmetic number, because the mean of its divisors is an integer number (5861170).

Almost surely, 2255348480 is an apocalyptic number.

255348480 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 255348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422004240).

255348480 is an abundant number, since it is smaller than the sum of its proper divisors (588660000).

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

255348480 is a wasteful number, since it uses less digits than its factorization.

255348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 255348480 is about 15979.6270294397. The cubic root of 255348480 is about 634.4213050882.

The spelling of 255348480 in words is "two hundred fifty-five million, three hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2293 2320 2784 3480 3712 3840 4586 4640 5568 6879 6960 7424 9172 9280 11136 11465 13758 13920 18344 18560 22272 22930 27516 27840 34395 36688 37120 45860 55032 55680 66497 68790 73376 91720 110064 111360 132994 137580 146752 183440 199491 220128 265988 275160 293504 332485 366880 398982 440256 531976 550320 587008 664970 733760 797964 880512 997455 1063952 1100640 1329940 1467520 1595928 1761024 1994910 2127904 2201280 2659880 2935040 3191856 3989820 4255808 4402560 5319760 6383712 7979640 8511616 8805120 10639520 12767424 15959280 17023232 21279040 25534848 31918560 42558080 51069696 63837120 85116160 127674240 255348480