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4076192820 = 2235710790703
BaseRepresentation
bin1111001011110101…
…1100010000110100
3101112002002001100110
43302331130100310
531322001132240
61512250543020
7203004032040
oct36275342064
911462061313
104076192820
1118019a4aa7
12959137a70
134cc64ac1b
142a9509020
1518ccc5c80
hexf2f5c434

4076192820 has 96 divisors (see below), whose sum is σ = 13165867008. Its totient is φ = 922983552.

The previous prime is 4076192749. The next prime is 4076192891. The reversal of 4076192820 is 282916704.

It is an interprime number because it is at equal distance from previous prime (4076192749) and next prime (4076192891).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 412 + ... + 90291.

It is an arithmetic number, because the mean of its divisors is an integer number (137144448).

Almost surely, 24076192820 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 4076192820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582933504).

4076192820 is an abundant number, since it is smaller than the sum of its proper divisors (9089674188).

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

4076192820 is a wasteful number, since it uses less digits than its factorization.

4076192820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90829 (or 90827 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4076192820 is about 63845.0688777136. The cubic root of 4076192820 is about 1597.4167716809.

The spelling of 4076192820 in words is "four billion, seventy-six million, one hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2996 3210 3745 4494 6420 7490 8988 11235 14980 22470 44940 90703 181406 272109 362812 453515 544218 634921 907030 1088436 1269842 1360545 1814060 1904763 2539684 2721090 3174605 3809526 5442180 6349210 7619052 9523815 9705221 12698420 19047630 19410442 29115663 38095260 38820884 48526105 58231326 67936547 97052210 116462652 135873094 145578315 194104420 203809641 271746188 291156630 339682735 407619282 582313260 679365470 815238564 1019048205 1358730940 2038096410 4076192820