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1988028936 = 2332473111889
BaseRepresentation
bin111011001111110…
…1110101000001000
312010112211100000100
41312133232220020
513032413411221
6525134205400
7100156652505
oct16637565010
95115740010
101988028936
11930210623
12475953860
13258b455aa
1414c0604ac
15b97ea926
hex767eea08

1988028936 has 96 divisors (see below), whose sum is σ = 5519404800. Its totient is φ = 646149120.

The previous prime is 1988028923. The next prime is 1988028947. The reversal of 1988028936 is 6398208891.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051480 + ... + 1053368.

It is an arithmetic number, because the mean of its divisors is an integer number (57493800).

Almost surely, 21988028936 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 1988028936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759702400).

1988028936 is an abundant number, since it is smaller than the sum of its proper divisors (3531375864).

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

1988028936 is a wasteful number, since it uses less digits than its factorization.

1988028936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1988028936 is about 44587.3181072825. The cubic root of 1988028936 is about 1257.4022518210.

The spelling of 1988028936 in words is "one billion, nine hundred eighty-eight million, twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 311 376 423 564 622 846 933 1128 1244 1692 1866 1889 2488 2799 3384 3732 3778 5598 5667 7464 7556 11196 11334 14617 15112 17001 22392 22668 29234 34002 43851 45336 58468 68004 87702 88783 116936 131553 136008 175404 177566 263106 266349 350808 355132 526212 532698 587479 710264 799047 1052424 1065396 1174958 1598094 1762437 2130792 2349916 3196188 3524874 4699832 5287311 6392376 7049748 10574622 14099496 21149244 27611513 42298488 55223026 82834539 110446052 165669078 220892104 248503617 331338156 497007234 662676312 994014468 1988028936