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4042880268 = 2237192838951
BaseRepresentation
bin1111000011111001…
…0111010100001100
3101102202101121010020
43300332113110030
531234434132033
61505100542140
7202120625640
oct36076272414
911382347106
104042880268
111795111869
12949b51950
134c578625b
142a4d16c20
15189de56b3
hexf0f9750c

4042880268 has 96 divisors (see below), whose sum is σ = 11389808640. Its totient is φ = 1090324800.

The previous prime is 4042880267. The next prime is 4042880273. The reversal of 4042880268 is 8620882404.

It is a super-2 number, since 2×40428802682 = 32689761722767503648, which contains 22 as substring.

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 (4042880267) by changing a digit.

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, 447193 + ... + 456143.

It is an arithmetic number, because the mean of its divisors is an integer number (118643840).

Almost surely, 24042880268 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 4042880268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694904320).

4042880268 is an abundant number, since it is smaller than the sum of its proper divisors (7346928372).

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

4042880268 is a wasteful number, since it uses less digits than its factorization.

4042880268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 4042880268 is about 63583.6478035037. The cubic root of 4042880268 is about 1593.0532510535.

The spelling of 4042880268 in words is "four billion, forty-two million, eight hundred eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 283 399 532 566 798 849 1132 1596 1698 1981 3396 3962 5377 5943 7924 8951 10754 11886 16131 17902 21508 23772 26853 32262 35804 37639 53706 62657 64524 75278 107412 112917 125314 150556 170069 187971 225834 250628 340138 375942 451668 510207 680276 751884 1020414 1190483 2040828 2380966 2533133 3571449 4761932 5066266 7142898 7599399 10132532 14285796 15198798 17731931 30397596 35463862 48129527 53195793 70927724 96259054 106391586 144388581 192518108 212783172 288777162 336906689 577554324 673813378 1010720067 1347626756 2021440134 4042880268