Search a number
-
+
4042204440 = 2335291161553
BaseRepresentation
bin1111000011101111…
…0010010100011000
3101102201010021001120
43300323302110120
531234301020230
61505034245240
7202112112411
oct36073622430
911381107046
104042204440
1117947a002a
12949886820
134c55aa761
142a4bbc808
15189d10310
hexf0ef2518

4042204440 has 64 divisors (see below), whose sum is σ = 12544783200. Its totient is φ = 1040750592.

The previous prime is 4042204429. The next prime is 4042204493. The reversal of 4042204440 is 444022404.

4042204440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4042204440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577297 + ... + 584256.

Almost surely, 24042204440 is an apocalyptic number.

4042204440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042204440 is an abundant number, since it is smaller than the sum of its proper divisors (8502578760).

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

4042204440 is a wasteful number, since it uses less digits than its factorization.

4042204440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161596 (or 1161592 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4042204440 is about 63578.3331017730. Note that the first 3 decimals coincide. The cubic root of 4042204440 is about 1592.9644785351.

Adding to 4042204440 its reverse (444022404), we get a palindrome (4486226844).

The spelling of 4042204440 in words is "four billion, forty-two million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 1161553 2323106 3484659 4646212 5807765 6969318 9292424 11615530 13938636 17423295 23231060 27877272 33685037 34846590 46462120 67370074 69693180 101055111 134740148 139386360 168425185 202110222 269480296 336850370 404220444 505275555 673700740 808440888 1010551110 1347401480 2021102220 4042204440