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1058242284 = 2232112379641
BaseRepresentation
bin111111000100110…
…111111011101100
32201202021021111200
4333010313323230
54131402223114
6253001445500
735136624321
oct7704677354
92652237450
101058242284
114a3394100
122564a0890
1313b320088
14a078cb48
1562d88409
hex3f137eec

1058242284 has 108 divisors (see below), whose sum is σ = 2952647880. Its totient is φ = 319334400.

The previous prime is 1058242279. The next prime is 1058242309. The reversal of 1058242284 is 4822428501.

1058242284 is a `hidden beast` number, since 10 + 582 + 42 + 28 + 4 = 666.

It is a super-2 number, since 2×10582422842 = 2239753463291073312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1650604 + ... + 1651244.

Almost surely, 21058242284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058242284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476323940).

1058242284 is an abundant number, since it is smaller than the sum of its proper divisors (1894405596).

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

1058242284 is a wasteful number, since it uses less digits than its factorization.

1058242284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1058242284 is about 32530.6360835444. The cubic root of 1058242284 is about 1019.0489289310.

It can be divided in two parts, 1058 and 242284, that added together give a palindrome (243342).

The spelling of 1058242284 in words is "one billion, fifty-eight million, two hundred forty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 379 396 484 641 726 758 1089 1137 1282 1452 1516 1923 2178 2274 2564 3411 3846 4169 4356 4548 5769 6822 7051 7692 8338 11538 12507 13644 14102 16676 21153 23076 25014 28204 37521 42306 45859 50028 63459 75042 77561 84612 91718 126918 137577 150084 155122 183436 232683 242939 253836 275154 310244 412731 465366 485878 550308 698049 728817 825462 930732 971756 1396098 1457634 1650924 2186451 2672329 2792196 2915268 4372902 5344658 8016987 8745804 10689316 16033974 24050961 29395619 32067948 48101922 58791238 88186857 96203844 117582476 176373714 264560571 352747428 529121142 1058242284