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5814438100 = 225270982009
BaseRepresentation
bin1010110101001000…
…10100100011010100
3120000012220001121021
411122210110203110
543401444004400
62400543330524
7264041623402
oct53244244324
916005801537
105814438100
11251410a449
1211632b0a44
137187c8423
143d2308472
152406d171a
hex15a9148d4

5814438100 has 36 divisors (see below), whose sum is σ = 12635280700. Its totient is φ = 2322466560.

The previous prime is 5814438067. The next prime is 5814438109. The reversal of 5814438100 is 18344185.

It can be written as a sum of positive squares in 6 ways, for example, as 16224784 + 5798213316 = 4028^2 + 76146^2 .

It is a super-2 number, since 2×58144381002 = 67615380837463220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814438109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29896 + ... + 111904.

Almost surely, 25814438100 is an apocalyptic number.

5814438100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5814438100 is an abundant number, since it is smaller than the sum of its proper divisors (6820842600).

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

5814438100 is a wasteful number, since it uses less digits than its factorization.

5814438100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82732 (or 82725 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 5814438100 is about 76252.4629110431. The cubic root of 5814438100 is about 1798.1914035393.

The spelling of 5814438100 in words is "five billion, eight hundred fourteen million, four hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 709 1418 2836 3545 7090 14180 17725 35450 70900 82009 164018 328036 410045 820090 1640180 2050225 4100450 8200900 58144381 116288762 232577524 290721905 581443810 1162887620 1453609525 2907219050 5814438100