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1442868588 = 2232719319721
BaseRepresentation
bin101011000000000…
…0110110101101100
310201120000022121100
41112000012311230
510423333243323
6355101403100
750520115650
oct12600066554
93646008540
101442868588
11680509587
12343269490
1319cc0abc5
14d98b0a60
1586a11943
hex56006d6c

1442868588 has 144 divisors (see below), whose sum is σ = 4529674240. Its totient is φ = 377913600.

The previous prime is 1442868587. The next prime is 1442868589. The reversal of 1442868588 is 8858682441.

1442868588 is a `hidden beast` number, since 14 + 42 + 8 + 6 + 8 + 588 = 666.

It is an interprime number because it is at equal distance from previous prime (1442868587) and next prime (1442868589).

It is a super-2 number, since 2×14428685882 = 4163739524474227488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442868587) 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 47 ways as a sum of consecutive naturals, for example, 143568 + ... + 153288.

Almost surely, 21442868588 is an apocalyptic number.

1442868588 is a gapful number since it is divisible by the number (18) 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 1442868588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264837120).

1442868588 is an abundant number, since it is smaller than the sum of its proper divisors (3086805652).

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

1442868588 is a wasteful number, since it uses less digits than its factorization.

1442868588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9783 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The square root of 1442868588 is about 37985.1100827680. The cubic root of 1442868588 is about 1129.9925830301.

The spelling of 1442868588 in words is "one billion, four hundred forty-two million, eight hundred sixty-eight thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 93 114 124 126 133 171 186 217 228 252 266 279 342 372 399 434 532 558 589 651 684 798 868 1116 1178 1197 1302 1596 1767 1953 2356 2394 2604 3534 3906 4123 4788 5301 7068 7812 8246 9721 10602 12369 16492 19442 21204 24738 29163 37107 38884 49476 58326 68047 74214 87489 116652 136094 148428 174978 184699 204141 272188 301351 349956 369398 408282 554097 602702 612423 738796 816564 904053 1108194 1205404 1224846 1292893 1662291 1808106 2109457 2216388 2449692 2585786 2712159 3324582 3616212 3878679 4218914 5171572 5424318 5725669 6328371 6649164 7757358 8437828 10848636 11451338 11636037 12656742 15514716 17177007 18985113 22902676 23272074 25313484 34354014 37970226 40079683 46544148 51531021 68708028 75940452 80159366 103062042 120239049 160318732 206124084 240478098 360717147 480956196 721434294 1442868588