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4004104132 = 2272327122943
BaseRepresentation
bin1110111010101001…
…1100011111000100
3101100001102120021001
43232222130133010
531200022313012
61501153503044
7201140215660
oct35652343704
911301376231
104004104132
111775237776
12938b71a84
134ba72a7b2
1429db018a0
151867d6357
hexeea9c7c4

4004104132 has 48 divisors (see below), whose sum is σ = 8387592192. Its totient is φ = 1635305760.

The previous prime is 4004104123. The next prime is 4004104141. The reversal of 4004104132 is 2314014004.

It is an interprime number because it is at equal distance from previous prime (4004104123) and next prime (4004104141).

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, 163053 + ... + 185995.

It is an arithmetic number, because the mean of its divisors is an integer number (174741504).

Almost surely, 24004104132 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 4004104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193796096).

4004104132 is an abundant number, since it is smaller than the sum of its proper divisors (4383488060).

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

4004104132 is a wasteful number, since it uses less digits than its factorization.

4004104132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23248 (or 23246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4004104132 is about 63277.9908973096. The cubic root of 4004104132 is about 1587.9437750144.

Adding to 4004104132 its reverse (2314014004), we get a palindrome (6318118136).

The spelling of 4004104132 in words is "four billion, four million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 271 322 542 644 1084 1897 3794 6233 7588 12466 22943 24932 43631 45886 87262 91772 160601 174524 321202 527689 642404 1055378 2110756 3693823 6217553 7387646 12435106 14775292 24870212 43522871 87045742 143003719 174091484 286007438 572014876 1001026033 2002052066 4004104132