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4298397696 = 21132613823
BaseRepresentation
bin1000000000011010…
…00101100000000000
3102002120012020010200
410000031011200000
532300342211241
61550305325200
7211342530465
oct40015054000
912076166120
104298397696
11190637389a
129bb636800
135366ab0b8
142cac2b66c
151a25694b6
hex100345800

4298397696 has 144 divisors (see below), whose sum is σ = 12621379680. Its totient is φ = 1408942080.

The previous prime is 4298397689. The next prime is 4298397703. The reversal of 4298397696 is 6967938924.

It is an interprime number because it is at equal distance from previous prime (4298397689) and next prime (4298397703).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122441 + ... + 1126263.

It is an arithmetic number, because the mean of its divisors is an integer number (87648470).

Almost surely, 24298397696 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 4298397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310689840).

4298397696 is an abundant number, since it is smaller than the sum of its proper divisors (8322981984).

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

4298397696 is a wasteful number, since it uses less digits than its factorization.

4298397696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3889 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 4298397696 is about 65562.1666512021. The cubic root of 4298397696 is about 1625.9313251951.

The spelling of 4298397696 in words is "four billion, two hundred ninety-eight million, three hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2048 2196 2304 2928 3072 3823 3904 4392 4608 5856 6144 7646 7808 8784 9216 11469 11712 15292 15616 17568 18432 22938 23424 30584 31232 34407 35136 45876 46848 61168 62464 68814 70272 91752 93696 122336 124928 137628 140544 183504 187392 233203 244672 275256 281088 367008 374784 466406 489344 550512 562176 699609 734016 932812 978688 1101024 1124352 1399218 1468032 1865624 1957376 2098827 2202048 2798436 2936064 3731248 3914752 4197654 4404096 5596872 5872128 7462496 7829504 8395308 8808192 11193744 11744256 14924992 16790616 17616384 22387488 23488512 29849984 33581232 35232768 44774976 59699968 67162464 70465536 89549952 119399936 134324928 179099904 238799872 268649856 358199808 477599744 537299712 716399616 1074599424 1432799232 2149198848 4298397696