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318865050 = 232527214461
BaseRepresentation
bin10011000000010…
…111111010011010
3211020000000121200
4103000113322122
51123112140200
651350215030
710621210500
oct2300277232
9736000550
10318865050
11153a9a039
128a954476
13510a475a
14304c4670
151ced8800
hex13017e9a

318865050 has 108 divisors (see below), whose sum is σ = 996619806. Its totient is φ = 72878400.

The previous prime is 318865037. The next prime is 318865069. The reversal of 318865050 is 50568813.

It can be written as a sum of positive squares in 3 ways, for example, as 149891049 + 168974001 = 12243^2 + 12999^2 .

It is a super-2 number, since 2×3188650502 = 203349840223005000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318864996 and 318865014.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14820 + ... + 29280.

Almost surely, 2318865050 is an apocalyptic number.

318865050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 318865050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498309903).

318865050 is an abundant number, since it is smaller than the sum of its proper divisors (677754756).

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

318865050 is a wasteful number, since it uses less digits than its factorization.

318865050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14493 (or 14478 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 318865050 is about 17856.7928251408. The cubic root of 318865050 is about 683.1807802754.

The spelling of 318865050 in words is "three hundred eighteen million, eight hundred sixty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3150 3675 4410 7350 11025 14461 22050 28922 43383 72305 86766 101227 130149 144610 202454 216915 260298 303681 361525 433830 506135 607362 650745 708589 723050 911043 1012270 1084575 1301490 1417178 1518405 1822086 2125767 2169150 2530675 3036810 3253725 3542945 4251534 4555215 5061350 6377301 6507450 7085890 7592025 9110430 10628835 12754602 15184050 17714725 21257670 22776075 31886505 35429450 45552150 53144175 63773010 106288350 159432525 318865050