Search a number
-
+
5414251000 = 23536618191
BaseRepresentation
bin1010000101011011…
…01110100111111000
3111222022212110002211
411002231232213320
542042022013000
62253130104504
7251112242224
oct50255564770
914868773084
105414251000
112329226a04
12107127b134
1368391c922
143950d5784
1521a4d27ba
hex142b6e9f8

5414251000 has 64 divisors (see below), whose sum is σ = 12690063360. Its totient is φ = 2162160000.

The previous prime is 5414250983. The next prime is 5414251013. The reversal of 5414251000 is 1524145.

It is a super-2 number, since 2×54142510002 = 58628227782002000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656905 + ... + 665095.

It is an arithmetic number, because the mean of its divisors is an integer number (198282240).

Almost surely, 25414251000 is an apocalyptic number.

5414251000 is a gapful number since it is divisible by the number (50) 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 5414251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345031680).

5414251000 is an abundant number, since it is smaller than the sum of its proper divisors (7275812360).

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

5414251000 is a wasteful number, since it uses less digits than its factorization.

5414251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5414251000 is about 73581.5941659326. The cubic root of 5414251000 is about 1755.9526271330.

Adding to 5414251000 its reverse (1524145), we get a palindrome (5415775145).

The spelling of 5414251000 in words is "five billion, four hundred fourteen million, two hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 661 1000 1322 2644 3305 5288 6610 8191 13220 16382 16525 26440 32764 33050 40955 65528 66100 81910 82625 132200 163820 165250 204775 327640 330500 409550 661000 819100 1023875 1638200 2047750 4095500 5414251 8191000 10828502 21657004 27071255 43314008 54142510 108285020 135356275 216570040 270712550 541425100 676781375 1082850200 1353562750 2707125500 5414251000