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255053440 = 2752317327
BaseRepresentation
bin11110011001111…
…00111010000000
3122202221001112201
433030330322000
51010243202230
641150402544
76214630015
oct1714747200
9582831481
10255053440
11120a75474
1271500454
1340ac18c5
1425c3370c
15175d15ca
hexf33ce80

255053440 has 64 divisors (see below), whose sum is σ = 636284160. Its totient is φ = 97580032.

The previous prime is 255053423. The next prime is 255053453. The reversal of 255053440 is 44350552.

255053440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 255053399 and 255053408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6057 + ... + 23383.

It is an arithmetic number, because the mean of its divisors is an integer number (9941940).

Almost surely, 2255053440 is an apocalyptic number.

255053440 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 255053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318142080).

255053440 is an abundant number, since it is smaller than the sum of its proper divisors (381230720).

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

255053440 is a wasteful number, since it uses less digits than its factorization.

255053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17369 (or 17357 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 255053440 is about 15970.3926063200. The cubic root of 255053440 is about 634.1768655418.

The spelling of 255053440 in words is "two hundred fifty-five million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 17327 34654 69308 86635 138616 173270 277232 346540 398521 554464 693080 797042 1108928 1386160 1594084 1992605 2217856 2772320 3188168 3985210 5544640 6376336 7970420 11089280 12752672 15940840 25505344 31881680 51010688 63763360 127526720 255053440