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5349000852 = 22321311429489
BaseRepresentation
bin1001111101101001…
…10100011010010100
3111210210002101201200
410332310310122110
541423321011402
62242435352500
7246360520446
oct47664643224
914723071650
105349000852
1122a540a568
121053452730
13673255080
1438a58c496
152148e421c
hex13ed34694

5349000852 has 36 divisors (see below), whose sum is σ = 14561170260. Its totient is φ = 1645846272.

The previous prime is 5349000851. The next prime is 5349000857. The reversal of 5349000852 is 2580009435.

It can be written as a sum of positive squares in 2 ways, for example, as 392277636 + 4956723216 = 19806^2 + 70404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×53490008522 = 57223620229393451808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349000851) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5714277 + ... + 5715212.

Almost surely, 25349000852 is an apocalyptic number.

5349000852 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5349000852 is an abundant number, since it is smaller than the sum of its proper divisors (9212169408).

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

5349000852 is a wasteful number, since it uses less digits than its factorization.

5349000852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429512 (or 11429507 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5349000852 is about 73136.8638376024. The cubic root of 5349000852 is about 1748.8701116781.

The spelling of 5349000852 in words is "five billion, three hundred forty-nine million, eight hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 11429489 22858978 34288467 45717956 68576934 102865401 137153868 148583357 205730802 297166714 411461604 445750071 594333428 891500142 1337250213 1783000284 2674500426 5349000852