Search a number
-
+
1058354466 = 2313109281443
BaseRepresentation
bin111111000101010…
…011010100100010
32201202110222101120
4333011103110202
54131414320331
6253004113110
735140602351
oct7705232442
92652428346
101058354466
114a3460414
12256535796
1313b35c160
14a07bb998
1562dab796
hex3f153522

1058354466 has 64 divisors (see below), whose sum is σ = 2313843840. Its totient is φ = 320785920.

The previous prime is 1058354411. The next prime is 1058354489. The reversal of 1058354466 is 6644538501.

1058354466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10583544662 = 2240228351404290312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2388841 + ... + 2389283.

It is an arithmetic number, because the mean of its divisors is an integer number (36153810).

Almost surely, 21058354466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058354466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156921920).

1058354466 is an abundant number, since it is smaller than the sum of its proper divisors (1255489374).

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

1058354466 is a wasteful number, since it uses less digits than its factorization.

1058354466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 1058354466 is about 32532.3602894103. The cubic root of 1058354466 is about 1019.0849367241.

The spelling of 1058354466 in words is "one billion, fifty-eight million, three hundred fifty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 109 218 281 327 443 562 654 843 886 1329 1417 1686 2658 2834 3653 4251 5759 7306 8502 10959 11518 17277 21918 30629 34554 48287 61258 91887 96574 124483 144861 183774 248966 289722 373449 398177 627731 746898 796354 1194531 1255462 1618279 1883193 2389062 3236558 3766386 4854837 9709674 13568647 27137294 40705941 81411882 176392411 352784822 529177233 1058354466