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5375211828 = 2237293476359
BaseRepresentation
bin1010000000110001…
…10011100100110100
3111212121102001102120
411000120303210310
542002023234303
62245213235540
7250126355340
oct50030634464
914777361376
105375211828
112309192228
121060192bb0
1367880151c
1438dc52620
15216d70553
hex140633934

5375211828 has 96 divisors (see below), whose sum is σ = 14873241600. Its totient is φ = 1478311296.

The previous prime is 5375211817. The next prime is 5375211841. The reversal of 5375211828 is 8281125735.

It is a super-2 number, since 2×53752118282 = 57785804391742203168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5375211828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842113 + ... + 848471.

It is an arithmetic number, because the mean of its divisors is an integer number (154929600).

Almost surely, 25375211828 is an apocalyptic number.

5375211828 is a gapful number since it is divisible by the number (58) 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 5375211828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436620800).

5375211828 is an abundant number, since it is smaller than the sum of its proper divisors (9498029772).

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

5375211828 is a wasteful number, since it uses less digits than its factorization.

5375211828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6747 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 5375211828 is about 73315.8361338122. The cubic root of 5375211828 is about 1751.7220412959.

The spelling of 5375211828 in words is "five billion, three hundred seventy-five million, two hundred eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 347 348 406 609 694 812 1041 1218 1388 2082 2429 2436 4164 4858 6359 7287 9716 10063 12718 14574 19077 20126 25436 29148 30189 38154 40252 44513 60378 70441 76308 89026 120756 133539 140882 178052 184411 211323 267078 281764 368822 422646 534156 553233 737644 845292 1106466 1290877 2206573 2212932 2581754 3872631 4413146 5163508 6619719 7745262 8826292 13239438 15446011 15490524 26478876 30892022 46338033 61784044 63990617 92676066 127981234 185352132 191971851 255962468 383943702 447934319 767887404 895868638 1343802957 1791737276 2687605914 5375211828