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1047442284 = 22327171391759
BaseRepresentation
bin111110011011101…
…011001101101100
32200222221120200200
4332123223031230
54121121123114
6251534153500
734646053410
oct7633531554
92628846620
101047442284
11498287989
12252952890
1313900b345
149d17ad40
1561e53409
hex3e6eb36c

1047442284 has 144 divisors (see below), whose sum is σ = 3228825600. Its totient is φ = 279479808.

The previous prime is 1047442283. The next prime is 1047442303. The reversal of 1047442284 is 4822447401.

It is a super-2 number, since 2×10474422842 = 2194270676622273312, 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 (1047442283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594597 + ... + 596355.

It is an arithmetic number, because the mean of its divisors is an integer number (22422400).

Almost surely, 21047442284 is an apocalyptic number.

1047442284 is a gapful number since it is divisible by the number (14) 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 1047442284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614412800).

1047442284 is an abundant number, since it is smaller than the sum of its proper divisors (2181383316).

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

1047442284 is a wasteful number, since it uses less digits than its factorization.

1047442284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 1047442284 is about 32364.2130137595. The cubic root of 1047442284 is about 1015.5703990579.

Adding to 1047442284 its reverse (4822447401), we get a palindrome (5869889685).

The spelling of 1047442284 in words is "one billion, forty-seven million, four hundred forty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 139 153 204 238 252 278 306 357 417 476 556 612 714 834 973 1071 1251 1428 1668 1759 1946 2142 2363 2502 2919 3518 3892 4284 4726 5004 5277 5838 7036 7089 8757 9452 10554 11676 12313 14178 15831 16541 17514 21108 21267 24626 28356 29903 31662 33082 35028 36939 42534 49252 49623 59806 63324 66164 73878 85068 89709 99246 110817 119612 147756 148869 179418 198492 209321 221634 244501 269127 297738 358836 418642 443268 489002 538254 595476 627963 733503 837284 978004 1076508 1255926 1467006 1711507 1883889 2200509 2511852 2934012 3423014 3767778 4156517 4401018 5134521 6846028 7535556 8313034 8802036 10269042 12469551 15403563 16626068 20538084 24939102 29095619 30807126 37408653 49878204 58191238 61614252 74817306 87286857 116382476 149634612 174573714 261860571 349147428 523721142 1047442284