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1990056408 = 2333110325969
BaseRepresentation
bin111011010011101…
…1101100111011000
312010200122100011220
41312213131213120
513033423301113
6525245452040
7100213125504
oct16647354730
95120570156
101990056408
1193137591a
12476571020
132593a5392
1414c42b304
15b9a9b523
hex769dd9d8

1990056408 has 64 divisors (see below), whose sum is σ = 5185689600. Its totient is φ = 635696640.

The previous prime is 1990056391. The next prime is 1990056413. The reversal of 1990056408 is 8046500991.

It is a self number, because there is not a number n which added to its sum of digits gives 1990056408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63648 + ... + 89616.

It is an arithmetic number, because the mean of its divisors is an integer number (81026400).

Almost surely, 21990056408 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 1990056408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592844800).

1990056408 is an abundant number, since it is smaller than the sum of its proper divisors (3195633192).

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

1990056408 is a wasteful number, since it uses less digits than its factorization.

1990056408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26112 (or 26108 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1990056408 is about 44610.0482851117. The cubic root of 1990056408 is about 1257.8295564174.

The spelling of 1990056408 in words is "one billion, nine hundred ninety million, fifty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 103 124 186 206 248 309 372 412 618 744 824 1236 2472 3193 6386 9579 12772 19158 25544 25969 38316 51938 76632 77907 103876 155814 207752 311628 623256 805039 1610078 2415117 2674807 3220156 4830234 5349614 6440312 8024421 9660468 10699228 16048842 19320936 21398456 32097684 64195368 82919017 165838034 248757051 331676068 497514102 663352136 995028204 1990056408