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1290828350 = 25273688081
BaseRepresentation
bin100110011110000…
…0111101000111110
310022221220212121102
41030330013220332
510120423001400
6332030533102
743662600650
oct11474075076
93287825542
101290828350
11602703499
12300367192
13177576476
14c36146d0
15784cc9d5
hex4cf07a3e

1290828350 has 24 divisors (see below), whose sum is σ = 2743933008. Its totient is φ = 442569600.

The previous prime is 1290828349. The next prime is 1290828353. The reversal of 1290828350 is 538280921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290828353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1843691 + ... + 1844390.

It is an arithmetic number, because the mean of its divisors is an integer number (114330542).

Almost surely, 21290828350 is an apocalyptic number.

1290828350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1290828350 is an abundant number, since it is smaller than the sum of its proper divisors (1453104658).

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

1290828350 is a wasteful number, since it uses less digits than its factorization.

1290828350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688100 (or 3688095 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1290828350 is about 35928.0997270938. The cubic root of 1290828350 is about 1088.8201890843.

The spelling of 1290828350 in words is "one billion, two hundred ninety million, eight hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 3688081 7376162 18440405 25816567 36880810 51633134 92202025 129082835 184404050 258165670 645414175 1290828350