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247441068 = 2235741887
BaseRepresentation
bin11101011111110…
…10011010101100
3122020121022100000
432233322122230
51001321103233
640315304300
76063133350
oct1657723254
9566538300
10247441068
11117746156
126aa4b090
133c357a44
1424c11460
1516acad13
hexebfa6ac

247441068 has 144 divisors (see below), whose sum is σ = 760241664. Its totient is φ = 68895360.

The previous prime is 247441067. The next prime is 247441087. The reversal of 247441068 is 860144742.

It is a super-2 number, since 2×2474410682 = 122454164265961248, which contains 22 as substring.

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 (247441067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278521 + ... + 279407.

It is an arithmetic number, because the mean of its divisors is an integer number (5279456).

Almost surely, 2247441068 is an apocalyptic number.

247441068 is a gapful number since it is divisible by the number (28) 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 247441068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380120832).

247441068 is an abundant number, since it is smaller than the sum of its proper divisors (512800596).

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

247441068 is a wasteful number, since it uses less digits than its factorization.

247441068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 247441068 is about 15730.2596291352. The cubic root of 247441068 is about 627.8037813148.

The spelling of 247441068 in words is "two hundred forty-seven million, four hundred forty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 243 246 252 287 324 369 378 486 492 567 574 738 756 861 887 972 1107 1134 1148 1476 1701 1722 1774 2214 2268 2583 2661 3321 3402 3444 3548 4428 5166 5322 6209 6642 6804 7749 7983 9963 10332 10644 12418 13284 15498 15966 18627 19926 23247 23949 24836 30996 31932 36367 37254 39852 46494 47898 55881 69741 71847 72734 74508 92988 95796 109101 111762 139482 143694 145468 167643 215541 218202 223524 254569 278964 287388 327303 335286 431082 436404 502929 509138 654606 670572 763707 862164 981909 1005858 1018276 1309212 1508787 1527414 1963818 2011716 2291121 2945727 3017574 3054828 3927636 4582242 5891454 6035148 6873363 8837181 9164484 11782908 13746726 17674362 20620089 27493452 35348724 41240178 61860267 82480356 123720534 247441068