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1050053058 = 237431557
BaseRepresentation
bin111110100101101…
…000100111000010
32201011212020000000
4332211220213002
54122303144213
6252110140430
735010206115
oct7645504702
92634766000
101050053058
1149980044a
122537b1716
13139713792
149d65a57c
15622bbc73
hex3e9689c2

1050053058 has 64 divisors (see below), whose sum is σ = 2371991040. Its totient is φ = 348578640.

The previous prime is 1050053051. The next prime is 1050053071. The reversal of 1050053058 is 8503500501.

1050053058 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-3 number, since 3×10500530583 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1050053051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884916 + ... + 1885472.

It is an arithmetic number, because the mean of its divisors is an integer number (37062360).

Almost surely, 21050053058 is an apocalyptic number.

1050053058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050053058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185995520).

1050053058 is an abundant number, since it is smaller than the sum of its proper divisors (1321937982).

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

1050053058 is an frugal number, since it uses more digits than its factorization.

1050053058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1050053058 is about 32404.5221844112. The cubic root of 1050053058 is about 1016.4134765131.

Adding to 1050053058 its reverse (8503500501), we get a palindrome (9553553559).

The spelling of 1050053058 in words is "one billion, fifty million, fifty-three thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 431 486 557 729 862 1114 1293 1458 1671 2187 2586 3342 3879 4374 5013 7758 10026 11637 15039 23274 30078 34911 45117 69822 90234 104733 135351 209466 240067 270702 314199 406053 480134 628398 720201 812106 942597 1218159 1440402 1885194 2160603 2436318 4321206 6481809 12963618 19445427 38890854 58336281 116672562 175008843 350017686 525026529 1050053058