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4244871372 = 22372172711567
BaseRepresentation
bin1111110100000011…
…1001100011001100
3101221211110210211020
43331000321203030
532143141340442
61541114154140
7210122545200
oct37500714314
911854423736
104244871372
111889134765
129a5722950
13528589911
142c3a96b00
1519c9e49ec
hexfd0398cc

4244871372 has 144 divisors (see below), whose sum is σ = 12252377088. Its totient is φ = 1136540160.

The previous prime is 4244871359. The next prime is 4244871373. The reversal of 4244871372 is 2731784424.

4244871372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4244871373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708133 + ... + 2709699.

It is an arithmetic number, because the mean of its divisors is an integer number (85085952).

Almost surely, 24244871372 is an apocalyptic number.

4244871372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244871372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126188544).

4244871372 is an abundant number, since it is smaller than the sum of its proper divisors (8007505716).

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

4244871372 is a wasteful number, since it uses less digits than its factorization.

4244871372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1867 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 4244871372 is about 65152.6773970188. The cubic root of 4244871372 is about 1619.1540790117.

The spelling of 4244871372 in words is "four billion, two hundred forty-four million, eight hundred seventy-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 271 294 357 476 542 588 714 813 833 1084 1428 1567 1626 1666 1897 2499 3134 3252 3332 3794 4607 4701 4998 5691 6268 7588 9214 9402 9996 10969 11382 13279 13821 18428 18804 21938 22764 26558 26639 27642 32249 32907 39837 43876 53116 53278 55284 64498 65814 76783 79674 79917 96747 106556 128996 131628 153566 159348 159834 186473 193494 225743 230349 307132 319668 372946 386988 424657 451486 460698 559419 677229 745892 849314 902972 921396 1118838 1273971 1305311 1354458 1698628 2237676 2547942 2610622 2708916 2972599 3915933 5095884 5221244 5945198 7219169 7831866 8917797 11890396 14438338 15663732 17835594 20808193 21657507 28876676 35671188 41616386 43315014 50534183 62424579 83232772 86630028 101068366 124849158 151602549 202136732 249698316 303205098 353739281 606410196 707478562 1061217843 1414957124 2122435686 4244871372