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1875342768 = 2431329313343
BaseRepresentation
bin110111111000111…
…0111010110110000
311211200210021122120
41233301313112300
512320041432033
6510031034240
764321102425
oct15761672660
94750707576
101875342768
11882644862
1244406b980
1323b6ac6a0
1413b0c9d4c
15ae98c1b3
hex6fc775b0

1875342768 has 160 divisors (see below), whose sum is σ = 5572976640. Its totient is φ = 538997760.

The previous prime is 1875342761. The next prime is 1875342779. The reversal of 1875342768 is 8672435781.

It is a self number, because there is not a number n which added to its sum of digits gives 1875342768.

It is not an unprimeable number, because it can be changed into a prime (1875342761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 559305 + ... + 562647.

It is an arithmetic number, because the mean of its divisors is an integer number (34831104).

Almost surely, 21875342768 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 1875342768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786488320).

1875342768 is an abundant number, since it is smaller than the sum of its proper divisors (3697633872).

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

1875342768 is a wasteful number, since it uses less digits than its factorization.

1875342768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3421 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 1875342768 is about 43305.2279522923. The cubic root of 1875342768 is about 1233.1811737940.

The spelling of 1875342768 in words is "one billion, eight hundred seventy-five million, three hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 31 39 48 52 58 62 78 87 93 104 116 124 156 174 186 208 232 248 312 348 372 377 403 464 496 624 696 744 754 806 899 1131 1209 1392 1488 1508 1612 1798 2262 2418 2697 3016 3224 3343 3596 4524 4836 5394 6032 6448 6686 7192 9048 9672 10029 10788 11687 13372 14384 18096 19344 20058 21576 23374 26744 35061 40116 43152 43459 46748 53488 70122 80232 86918 93496 96947 103633 130377 140244 160464 173836 186992 193894 207266 260754 280488 290841 310899 347672 387788 414532 521508 560976 581682 621798 695344 775576 829064 1043016 1163364 1243596 1260311 1347229 1551152 1658128 2086032 2326728 2487192 2520622 2694458 3005357 3780933 4041687 4653456 4974384 5041244 5388916 6010714 7561866 8083374 9016071 10082488 10777832 12021428 15123732 16166748 18032142 20164976 21555664 24042856 30247464 32333496 36064284 39069641 48085712 60494928 64666992 72128568 78139282 117208923 144257136 156278564 234417846 312557128 468835692 625114256 937671384 1875342768