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255870252 = 2237112659
BaseRepresentation
bin11110100000001…
…00010100101100
3122211110120000000
433100010110230
51011000322002
641220104300
76224601261
oct1720042454
9584416000
10255870252
11121483120
1271835090
1341019621
1425da7268
15176e361c
hexf40452c

255870252 has 96 divisors (see below), whose sum is σ = 732883200. Its totient is φ = 77507280.

The previous prime is 255870233. The next prime is 255870257. The reversal of 255870252 is 252078552.

255870252 is a `hidden beast` number, since 25 + 587 + 0 + 2 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (255870257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94899 + ... + 97557.

It is an arithmetic number, because the mean of its divisors is an integer number (7634200).

Almost surely, 2255870252 is an apocalyptic number.

255870252 is a gapful number since it is divisible by the number (22) 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 255870252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366441600).

255870252 is an abundant number, since it is smaller than the sum of its proper divisors (477012948).

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

255870252 is a wasteful number, since it uses less digits than its factorization.

255870252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 255870252 is about 15995.9448611203. The cubic root of 255870252 is about 634.8531307262.

The spelling of 255870252 in words is "two hundred fifty-five million, eight hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2659 2673 2916 3564 4374 5318 5346 7977 8019 8748 10636 10692 15954 16038 23931 24057 29249 31908 32076 47862 48114 58498 71793 87747 95724 96228 116996 143586 175494 215379 263241 287172 350988 430758 526482 646137 789723 861516 1052964 1292274 1579446 1938411 2369169 2584548 3158892 3876822 4738338 5815233 7107507 7753644 9476676 11630466 14215014 21322521 23260932 28430028 42645042 63967563 85290084 127935126 255870252