Search a number
-
+
1688000352 = 25336747911
BaseRepresentation
bin110010010011100…
…1101011101100000
311100122021022011120
41210213031131200
511424112002402
6435255412240
756554523553
oct14447153540
94318238146
101688000352
11796917715
123b1384080
1320b93779c
1412028069a
159d2d33bc
hex649cd760

1688000352 has 48 divisors (see below), whose sum is σ = 4443167232. Its totient is φ = 561121920.

The previous prime is 1688000341. The next prime is 1688000387. The reversal of 1688000352 is 2530008861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11277 + ... + 59187.

It is an arithmetic number, because the mean of its divisors is an integer number (92565984).

Almost surely, 21688000352 is an apocalyptic number.

1688000352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1688000352 is an abundant number, since it is smaller than the sum of its proper divisors (2755166880).

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

1688000352 is a wasteful number, since it uses less digits than its factorization.

1688000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48291 (or 48283 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1688000352 is about 41085.2814521210. The cubic root of 1688000352 is about 1190.6684453915.

The spelling of 1688000352 in words is "one billion, six hundred eighty-eight million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 734 1101 1468 2202 2936 4404 5872 8808 11744 17616 35232 47911 95822 143733 191644 287466 383288 574932 766576 1149864 1533152 2299728 4599456 17583337 35166674 52750011 70333348 105500022 140666696 211000044 281333392 422000088 562666784 844000176 1688000352