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4042402240 = 26536734421
BaseRepresentation
bin1111000011110010…
…0010100111000000
3101102201111022101111
43300330202213000
531234323332430
61505042413104
7202113565162
oct36074424700
911381438344
104042402240
1117949156a8
12949961194
134c56497b6
142a4c30932
15189d4dc2a
hexf0f229c0

4042402240 has 56 divisors (see below), whose sum is σ = 9652479552. Its totient is φ = 1612508160.

The previous prime is 4042402219. The next prime is 4042402261. The reversal of 4042402240 is 422042404.

It is an interprime number because it is at equal distance from previous prime (4042402219) and next prime (4042402261).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100230 + ... + 134650.

Almost surely, 24042402240 is an apocalyptic number.

4042402240 is a gapful number since it is divisible by the number (40) 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 4042402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826239776).

4042402240 is an abundant number, since it is smaller than the sum of its proper divisors (5610077312).

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

4042402240 is a wasteful number, since it uses less digits than its factorization.

4042402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34805 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4042402240 is about 63579.8886441302. Note that the first 3 decimals coincide. The cubic root of 4042402240 is about 1592.9904613240.

Adding to 4042402240 its reverse (422042404), we get a palindrome (4464444644).

The spelling of 4042402240 in words is "four billion, forty-two million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 367 734 1468 1835 2936 3670 5872 7340 11744 14680 23488 29360 34421 58720 68842 117440 137684 172105 275368 344210 550736 688420 1101472 1376840 2202944 2753680 5507360 11014720 12632507 25265014 50530028 63162535 101060056 126325070 202120112 252650140 404240224 505300280 808480448 1010600560 2021201120 4042402240