Search a number
-
+
4047997404 = 2231124197701
BaseRepresentation
bin1111000101000111…
…1000100111011100
3101110010000120111210
43301101320213130
531242241404104
61505402344420
7202212260463
oct36121704734
911403016453
104047997404
111797a97400
1294b7bb110
134c6858449
142a58899da
1518a5a6989
hexf14789dc

4047997404 has 144 divisors (see below), whose sum is σ = 10760244768. Its totient is φ = 1182720000.

The previous prime is 4047997397. The next prime is 4047997409.

4047997404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047997409) 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 47 ways as a sum of consecutive naturals, for example, 5774254 + ... + 5774954.

It is an arithmetic number, because the mean of its divisors is an integer number (74723922).

Almost surely, 24047997404 is an apocalyptic number.

4047997404 is a gapful number since it is divisible by the number (44) 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 4047997404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380122384).

4047997404 is an abundant number, since it is smaller than the sum of its proper divisors (6712247364).

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

4047997404 is a wasteful number, since it uses less digits than its factorization.

4047997404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 4047997404 is about 63623.8744812040. The cubic root of 4047997404 is about 1593.7250850515.

The spelling of 4047997404 in words is "four billion, forty-seven million, nine hundred ninety-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 97 121 123 132 164 194 242 246 291 363 388 451 484 492 582 701 726 902 1067 1164 1353 1402 1452 1804 2103 2134 2706 2804 3201 3977 4206 4268 4961 5412 6402 7711 7954 8412 9922 11737 11931 12804 14883 15422 15908 19844 23133 23474 23862 28741 29766 30844 35211 43747 46266 46948 47724 57482 59532 67997 70422 84821 86223 87494 92532 114964 131241 135994 140844 169642 172446 174988 203991 254463 262482 271988 316151 339284 344892 407982 481217 508926 524964 632302 747967 815964 948453 962434 1017852 1264604 1443651 1495934 1896906 1924868 2243901 2787877 2887302 2991868 3477661 3793812 4487802 5575754 5774604 6955322 8227637 8363631 8975604 10432983 11151508 13910644 16455274 16727262 20865966 24682911 30666647 32910548 33454524 41731932 49365822 61333294 91999941 98731644 122666588 183999882 337333117 367999764 674666234 1011999351 1349332468 2023998702 4047997404