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612000000 = 28325617
BaseRepresentation
bin100100011110100…
…110000100000000
31120122120211011200
4210132212010000
52223133000000
6140421141200
721110625363
oct4436460400
91518524150
10612000000
11294504727
12150b5a800
1399a3a8a1
145b3cc0da
1538add500
hex247a6100

612000000 has 378 divisors, whose sum is σ = 2335399794. Its totient is φ = 153600000.

The previous prime is 611999987. The next prime is 612000001. The reversal of 612000000 is 216.

It can be written as a sum of positive squares in 7 ways, for example, as 603979776 + 8020224 = 24576^2 + 2832^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (612000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35999992 + ... + 36000008.

Almost surely, 2612000000 is an apocalyptic number.

612000000 is a gapful number since it is divisible by the number (60) 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 612000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167699897).

612000000 is an abundant number, since it is smaller than the sum of its proper divisors (1723399794).

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

612000000 is an frugal number, since it uses more digits than its factorization.

612000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 612000000 is about 24738.6337537060. The cubic root of 612000000 is about 849.0184748776.

Adding to 612000000 its reverse (216), we get a palindrome (612000216).

The spelling of 612000000 in words is "six hundred twelve million", and thus it is an aban number.