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1630983808 = 27174317431
BaseRepresentation
bin110000100110110…
…1101011010000000
311012122222120011201
41201031231122000
511320012440213
6425501350544
755263063556
oct14115553200
94178876151
101630983808
11767714303
12396268454
131ccb9379c
1411687bbd6
15982be6dd
hex6136d680

1630983808 has 64 divisors (see below), whose sum is σ = 3520566720. Its totient is φ = 749629440.

The previous prime is 1630983733. The next prime is 1630983821. The reversal of 1630983808 is 8083890361.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 84853 + ... + 102283.

It is an arithmetic number, because the mean of its divisors is an integer number (55008855).

Almost surely, 21630983808 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 1630983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760283360).

1630983808 is an abundant number, since it is smaller than the sum of its proper divisors (1889582912).

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

1630983808 is a wasteful number, since it uses less digits than its factorization.

1630983808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17505 (or 17493 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 1630983808 is about 40385.4405448300. The cubic root of 1630983808 is about 1177.1086464704.

The spelling of 1630983808 in words is "one billion, six hundred thirty million, nine hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 272 344 544 688 731 1088 1376 1462 2176 2752 2924 5504 5848 11696 17431 23392 34862 46784 69724 93568 139448 278896 296327 557792 592654 749533 1115584 1185308 1499066 2231168 2370616 2998132 4741232 5996264 9482464 11992528 12742061 18964928 23985056 25484122 37929856 47970112 50968244 95940224 101936488 203872976 407745952 815491904 1630983808