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2040442124 = 227253892207
BaseRepresentation
bin111100110011110…
…1010110100001100
312021012110012101112
41321213222310030
513134323121444
6534245431152
7101364320600
oct17147526414
95235405345
102040442124
1195785a406
1248b40b4b8
13266967206
14154dc5500
15be20069e
hex799ead0c

2040442124 has 72 divisors (see below), whose sum is σ = 4281621120. Its totient is φ = 847951104.

The previous prime is 2040442123. The next prime is 2040442133. The reversal of 2040442124 is 4212440402.

It is a super-2 number, since 2×20404421242 = 8326808122787262752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2040442124.

It is not an unprimeable number, because it can be changed into a prime (2040442123) 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 23 ways as a sum of consecutive naturals, for example, 923429 + ... + 925635.

It is an arithmetic number, because the mean of its divisors is an integer number (59466960).

Almost surely, 22040442124 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 2040442124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140810560).

2040442124 is an abundant number, since it is smaller than the sum of its proper divisors (2241178996).

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

2040442124 is a wasteful number, since it uses less digits than its factorization.

2040442124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2040442124 is about 45171.2532923318. The cubic root of 2040442124 is about 1268.3567570825.

Adding to 2040442124 its reverse (4212440402), we get a palindrome (6252882526).

The spelling of 2040442124 in words is "two billion, forty million, four hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 53 89 98 106 178 196 212 356 371 623 742 1246 1484 2207 2492 2597 4361 4414 4717 5194 8722 8828 9434 10388 15449 17444 18868 30898 33019 61796 66038 108143 116971 132076 196423 216286 231133 233942 392846 432572 462266 467884 785692 818797 924532 1374961 1637594 2749922 3275188 5499844 5731579 9624727 10410419 11463158 19249454 20820838 22926316 38498908 41641676 72872933 145745866 291491732 510110531 1020221062 2040442124