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255436000 = 2553193361
BaseRepresentation
bin11110011100110…
…10010011100000
3122210122111022121
433032122103200
51010342423000
641202514024
76221112241
oct1716322340
9583574277
10255436000
11121206936
1271665914
1340bc6a81
1425cd2cc8
1517659b1a
hexf39a4e0

255436000 has 96 divisors (see below), whose sum is σ = 660834720. Its totient is φ = 96768000.

The previous prime is 255435997. The next prime is 255436121. The reversal of 255436000 is 634552.

255436000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 74320 + ... + 77680.

It is an arithmetic number, because the mean of its divisors is an integer number (6883695).

Almost surely, 2255436000 is an apocalyptic number.

255436000 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 255436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330417360).

255436000 is an abundant number, since it is smaller than the sum of its proper divisors (405398720).

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

255436000 is a wasteful number, since it uses less digits than its factorization.

255436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 255436000 is about 15982.3652817723. The cubic root of 255436000 is about 634.4937788701.

The spelling of 255436000 in words is "two hundred fifty-five million, four hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3361 3800 4000 4750 6722 7600 9500 13444 15200 16805 19000 26888 33610 38000 53776 63859 67220 76000 84025 107552 127718 134440 168050 255436 268880 319295 336100 420125 510872 537760 638590 672200 840250 1021744 1277180 1344400 1596475 1680500 2043488 2554360 2688800 3192950 3361000 5108720 6385900 6722000 7982375 10217440 12771800 13444000 15964750 25543600 31929500 51087200 63859000 127718000 255436000