Search a number
-
+
5408374125 = 353711187303
BaseRepresentation
bin1010000100101110…
…10011110101101101
3111221220210212112210
411002113103311231
542034020433000
62252400121033
7251011264410
oct50227236555
914856725483
105408374125
112325982590
12106b306179
1368264299b
14394405b77
15219c21350
hex1425d3d6d

5408374125 has 64 divisors (see below), whose sum is σ = 11220258816. Its totient is φ = 2247624000.

The previous prime is 5408374109. The next prime is 5408374129. The reversal of 5408374125 is 5214738045.

It is not a de Polignac number, because 5408374125 - 24 = 5408374109 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408374129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64777 + ... + 122526.

It is an arithmetic number, because the mean of its divisors is an integer number (175316544).

Almost surely, 25408374125 is an apocalyptic number.

5408374125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5408374125 is an abundant number, since it is smaller than the sum of its proper divisors (5811884691).

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

5408374125 is a wasteful number, since it uses less digits than its factorization.

5408374125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187339 (or 187329 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 5408374125 is about 73541.6489140677. The cubic root of 5408374125 is about 1755.3170667631.

The spelling of 5408374125 in words is "five billion, four hundred eight million, three hundred seventy-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 825 875 1155 1375 1925 2625 4125 5775 9625 28875 187303 561909 936515 1311121 2060333 2809545 3933363 4682575 6180999 6555605 10301665 14047725 14422331 19666815 23412875 30904995 32778025 43266993 51508325 70238625 72111655 98334075 154524975 163890125 216334965 257541625 360558275 491670375 772624875 1081674825 1802791375 5408374125