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1427799808 = 2817378867
BaseRepresentation
bin101010100011010…
…0111111100000000
310200111122202010101
41111012213330000
510411004043213
6353402412144
750245045441
oct12506477400
93614582111
101427799808
11672a57146
1233a201054
13199a63176
14d78ab2c8
1585536bdd
hex551a7f00

1427799808 has 72 divisors (see below), whose sum is σ = 3099578832. Its totient is φ = 653672448.

The previous prime is 1427799803. The next prime is 1427799811. The reversal of 1427799808 is 8089977241.

It is a happy number.

It is a super-2 number, since 2×14277998082 = 4077224583449673728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427799803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156591 + ... + 165457.

It is an arithmetic number, because the mean of its divisors is an integer number (43049706).

Almost surely, 21427799808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427799808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549789416).

1427799808 is an abundant number, since it is smaller than the sum of its proper divisors (1671779024).

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

1427799808 is an equidigital number, since it uses as much as digits as its factorization.

1427799808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The square root of 1427799808 is about 37786.2383414915. The cubic root of 1427799808 is about 1126.0450688497.

The spelling of 1427799808 in words is "one billion, four hundred twenty-seven million, seven hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 544 592 629 1088 1184 1258 2176 2368 2516 4352 4736 5032 8867 9472 10064 17734 20128 35468 40256 70936 80512 141872 150739 161024 283744 301478 328079 567488 602956 656158 1134976 1205912 1312316 2269952 2411824 2624632 4823648 5249264 5577343 9647296 10498528 11154686 19294592 20997056 22309372 38589184 41994112 44618744 83988224 89237488 178474976 356949952 713899904 1427799808