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1798013952 = 21032747593
BaseRepresentation
bin110101100101011…
…1000010000000000
311122022021120110100
41223022320100000
512140242421302
6454225402400
762361603120
oct15312702000
94568246410
101798013952
11842a28549
12422199400
132286760a7
14130b1ac80
15a7cb4d1c
hex6b2b8400

1798013952 has 264 divisors, whose sum is σ = 6069862656. Its totient is φ = 501940224.

The previous prime is 1798013929. The next prime is 1798013953. The reversal of 1798013952 is 2593108971.

It is a junction number, because it is equal to n+sod(n) for n = 1798013898 and 1798013907.

It is not an unprimeable number, because it can be changed into a prime (1798013953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031768 + ... + 3032360.

It is an arithmetic number, because the mean of its divisors is an integer number (22991904).

Almost surely, 21798013952 is an apocalyptic number.

1798013952 is a gapful number since it is divisible by the number (12) 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 1798013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034931328).

1798013952 is an abundant number, since it is smaller than the sum of its proper divisors (4271848704).

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

1798013952 is a wasteful number, since it uses less digits than its factorization.

1798013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1798013952 is about 42402.9946112300. The cubic root of 1798013952 is about 1215.9928439099.

The spelling of 1798013952 in words is "one billion, seven hundred ninety-eight million, thirteen thousand, nine hundred fifty-two".