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1058369052 = 2231314945533
BaseRepresentation
bin111111000101010…
…110111000011100
32201202111201101210
4333011112320130
54131420302202
6253004304420
735140663026
oct7705267034
92652451353
101058369052
114a3470374
12256542110
1313b3659a0
14a07c3016
1562db0c6c
hex3f156e1c

1058369052 has 48 divisors (see below), whose sum is σ = 2677399200. Its totient is φ = 323459328.

The previous prime is 1058369041. The next prime is 1058369063. The reversal of 1058369052 is 2509638501.

It is an interprime number because it is at equal distance from previous prime (1058369041) and next prime (1058369063).

It is a super-2 number, since 2×10583690522 = 2240290100462757408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1058369052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478 + ... + 46010.

It is an arithmetic number, because the mean of its divisors is an integer number (55779150).

Almost surely, 21058369052 is an apocalyptic number.

1058369052 is a gapful number since it is divisible by the number (12) 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 1058369052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338699600).

1058369052 is an abundant number, since it is smaller than the sum of its proper divisors (1619030148).

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

1058369052 is a wasteful number, since it uses less digits than its factorization.

1058369052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45702 (or 45700 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1058369052 is about 32532.5844654248. The cubic root of 1058369052 is about 1019.0896183014.

The spelling of 1058369052 in words is "one billion, fifty-eight million, three hundred sixty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 1788 1937 3874 5811 7748 11622 23244 45533 91066 136599 182132 273198 546396 591929 1183858 1775787 2367716 3551574 6784417 7103148 13568834 20353251 27137668 40706502 81413004 88197421 176394842 264592263 352789684 529184526 1058369052