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2040443104 = 25725692287
BaseRepresentation
bin111100110011110…
…1011000011100000
312021012110020201211
41321213223003200
513134323134404
6534245435504
7101364323500
oct17147530340
95235406654
102040443104
11957860117
1248b40bb94
132669677ab
14154dc5a00
15be200b04
hex799eb0e0

2040443104 has 72 divisors (see below), whose sum is σ = 4683238560. Its totient is φ = 872557056.

The previous prime is 2040443099. The next prime is 2040443123. The reversal of 2040443104 is 4013440402.

It is a super-2 number, since 2×20404431042 = 8326816121322309632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891049 + ... + 893335.

It is an arithmetic number, because the mean of its divisors is an integer number (65044980).

Almost surely, 22040443104 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 2040443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341619280).

2040443104 is an abundant number, since it is smaller than the sum of its proper divisors (2642795456).

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

2040443104 is a wasteful number, since it uses less digits than its factorization.

2040443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2040443104 is about 45171.2641399375. The cubic root of 2040443104 is about 1268.3569601413.

Adding to 2040443104 its reverse (4013440402), we get a palindrome (6053883506).

The spelling of 2040443104 in words is "two billion, forty million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 569 784 1138 1568 2276 2287 3983 4552 4574 7966 9104 9148 15932 16009 18208 18296 27881 31864 32018 36592 55762 63728 64036 73184 111524 112063 127456 128072 223048 224126 256144 446096 448252 512288 892192 896504 1301303 1793008 2602606 3586016 5205212 9109121 10410424 18218242 20820848 36436484 41641696 63763847 72872968 127527694 145745936 255055388 291491872 510110776 1020221552 2040443104