Search a number
-
+
5386092100 = 22524121792
BaseRepresentation
bin1010000010000100…
…10011111001000100
3111220100212211100121
411001002103321010
542012314421400
62250242351324
7250321012264
oct50102237104
914810784317
105386092100
112314343794
12106395b544
1367ab4095c
143914857a4
15217cbe21a
hex141093e44

5386092100 has 81 divisors (see below), whose sum is σ = 12047141911. Its totient is φ = 2090147200.

The previous prime is 5386092097. The next prime is 5386092113. The reversal of 5386092100 is 12906835.

The square root of 5386092100 is 73390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2267092996 + 3118999104 = 47614^2 + 55848^2 .

It is a super-3 number, since 3×53860921003 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30089811 + ... + 30089989.

Almost surely, 25386092100 is an apocalyptic number.

5386092100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5386092100 is the 73390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5386092100

5386092100 is an abundant number, since it is smaller than the sum of its proper divisors (6661049811).

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

5386092100 is a wasteful number, since it uses less digits than its factorization.

5386092100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 5386092100 is about 1752.9031648011.

Adding to 5386092100 its reverse (12906835), we get a palindrome (5398998935).

The spelling of 5386092100 in words is "five billion, three hundred eighty-six million, ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 179 205 358 410 716 820 895 1025 1681 1790 2050 3362 3580 4100 4475 6724 7339 8405 8950 14678 16810 17900 29356 32041 33620 36695 42025 64082 73390 84050 128164 146780 160205 168100 183475 300899 320410 366950 601798 640820 733900 801025 1203596 1313681 1504495 1602050 2627362 3008990 3204100 5254724 6017980 6568405 7522475 13136810 15044950 26273620 30089900 32842025 53860921 65684050 107721842 131368100 215443684 269304605 538609210 1077218420 1346523025 2693046050 5386092100