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5378286600 = 2334521759331
BaseRepresentation
bin1010000001001001…
…00010010000001000
3111212211012021020000
411000210202100020
542003320132400
62245403203000
7250164452601
oct50044422010
914784167200
105378286600
11230a9a2365
121061216460
13679339c0b
14390412da8
1521727b600
hex140922408

5378286600 has 480 divisors, whose sum is σ = 20174378400. Its totient is φ = 1322956800.

The previous prime is 5378286593. The next prime is 5378286601. The reversal of 5378286600 is 66828735.

5378286600 is a `hidden beast` number, since 5 + 37 + 8 + 2 + 8 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5378286601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16248435 + ... + 16248765.

It is an arithmetic number, because the mean of its divisors is an integer number (42029955).

Almost surely, 25378286600 is an apocalyptic number.

5378286600 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 5378286600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087189200).

5378286600 is an abundant number, since it is smaller than the sum of its proper divisors (14796091800).

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

5378286600 is a wasteful number, since it uses less digits than its factorization.

5378286600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5378286600 is about 73336.8024937003. The cubic root of 5378286600 is about 1752.0559890158.

The spelling of 5378286600 in words is "five billion, three hundred seventy-eight million, two hundred eighty-six thousand, six hundred".