Search a number
-
+
255876040 = 23572196871
BaseRepresentation
bin11110100000001…
…01101111001000
3122211110211221101
433100011233020
51011001013130
641220151144
76224624200
oct1720055710
9584424841
10255876040
11121487502
12718384b4
134101c154
1425da9400
15176e51ca
hexf405bc8

255876040 has 96 divisors (see below), whose sum is σ = 705067200. Its totient is φ = 83099520.

The previous prime is 255876017. The next prime is 255876041. The reversal of 255876040 is 40678552.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (255876041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33805 + ... + 40675.

It is an arithmetic number, because the mean of its divisors is an integer number (7344450).

Almost surely, 2255876040 is an apocalyptic number.

255876040 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 255876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352533600).

255876040 is an abundant number, since it is smaller than the sum of its proper divisors (449191160).

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

255876040 is a wasteful number, since it uses less digits than its factorization.

255876040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 255876040 is about 15996.1257809508. The cubic root of 255876040 is about 634.8579176604.

The spelling of 255876040 in words is "two hundred fifty-five million, eight hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4655 5320 6871 7448 9310 13742 18620 27484 34355 37240 48097 54968 68710 96194 130549 137420 192388 240485 261098 274840 336679 384776 480970 522196 652745 673358 913843 961940 1044392 1305490 1346716 1683395 1827686 1923880 2610980 2693432 3366790 3655372 4569215 5221960 6396901 6733580 7310744 9138430 12793802 13467160 18276860 25587604 31984505 36553720 51175208 63969010 127938020 255876040