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1426788840 = 233517776691
BaseRepresentation
bin101010100001011…
…0001000111101000
310200102202101100010
41111002301013220
510410224220330
6353325011520
750233335141
oct12502610750
93612671303
101426788840
11672426634
123399b3ba0
1319979ac69
14d76c6ac8
15853d73b0
hex550b11e8

1426788840 has 64 divisors (see below), whose sum is σ = 4283415360. Its totient is φ = 380206080.

The previous prime is 1426788833. The next prime is 1426788859. The reversal of 1426788840 is 488876241.

It is a super-3 number, since 3×14267888403 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1426788840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209895 + ... + 216585.

It is an arithmetic number, because the mean of its divisors is an integer number (66928365).

Almost surely, 21426788840 is an apocalyptic number.

1426788840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1426788840 is an abundant number, since it is smaller than the sum of its proper divisors (2856626520).

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

1426788840 is a wasteful number, since it uses less digits than its factorization.

1426788840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 1426788840 is about 37772.8585097819. The cubic root of 1426788840 is about 1125.7792369231.

The spelling of 1426788840 in words is "one billion, four hundred twenty-six million, seven hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1777 3554 5331 6691 7108 8885 10662 13382 14216 17770 20073 21324 26655 26764 33455 35540 40146 42648 53310 53528 66910 71080 80292 100365 106620 133820 160584 200730 213240 267640 401460 802920 11889907 23779814 35669721 47559628 59449535 71339442 95119256 118899070 142678884 178348605 237798140 285357768 356697210 475596280 713394420 1426788840