Search a number
-
+
1058529056 = 25137193539
BaseRepresentation
bin111111000101111…
…101111100100000
32201202210211212212
4333011331330200
54131440412211
6253011541252
735142230354
oct7705757440
92652724785
101058529056
114a356a602
122565ba828
1313b3c0770
14a0825464
1562de338b
hex3f17df20

1058529056 has 48 divisors (see below), whose sum is σ = 2248041600. Its totient is φ = 487734528.

The previous prime is 1058529049. The next prime is 1058529071. The reversal of 1058529056 is 6509258501.

It is a super-2 number, since 2×10585290562 = 2240967524792502272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297335 + ... + 300873.

It is an arithmetic number, because the mean of its divisors is an integer number (46834200).

Almost surely, 21058529056 is an apocalyptic number.

1058529056 is a gapful number since it is divisible by the number (16) 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 1058529056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124020800).

1058529056 is an abundant number, since it is smaller than the sum of its proper divisors (1189512544).

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

1058529056 is a wasteful number, since it uses less digits than its factorization.

1058529056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 41.

The square root of 1058529056 is about 32535.0435069634. The cubic root of 1058529056 is about 1019.1409709616.

The spelling of 1058529056 in words is "one billion, fifty-eight million, five hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 719 1438 2876 3539 5752 7078 9347 11504 14156 18694 23008 28312 37388 46007 56624 74776 92014 113248 149552 184028 299104 368056 736112 1472224 2544541 5089082 10178164 20356328 33079033 40712656 66158066 81425312 132316132 264632264 529264528 1058529056