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2042463444 = 2237191319769
BaseRepresentation
bin111100110111101…
…1000010011010100
312021100020220010020
41321233120103110
513140332312234
6534401025140
7101420436630
oct17157302324
95240226106
102042463444
11958a1001a
124900251b0
132671c4268
1415538ddc0
15be49e549
hex79bd84d4

2042463444 has 96 divisors (see below), whose sum is σ = 5777587200. Its totient is φ = 548570880.

The previous prime is 2042463433. The next prime is 2042463481. The reversal of 2042463444 is 4443642402.

It is a happy number.

It is a super-2 number, since 2×20424634442 = 8343313840152682272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 204192 + ... + 213960.

It is an arithmetic number, because the mean of its divisors is an integer number (60183200).

Almost surely, 22042463444 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 2042463444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888793600).

2042463444 is an abundant number, since it is smaller than the sum of its proper divisors (3735123756).

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

2042463444 is a wasteful number, since it uses less digits than its factorization.

2042463444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

The square root of 2042463444 is about 45193.6217181142. The cubic root of 2042463444 is about 1268.7754422847.

It can be divided in two parts, 204246 and 3444, that added together give a triangular number (207690 = T644).

The spelling of 2042463444 in words is "two billion, forty-two million, four hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 131 133 228 262 266 393 399 524 532 786 798 917 1572 1596 1834 2489 2751 3668 4978 5502 7467 9769 9956 11004 14934 17423 19538 29307 29868 34846 39076 52269 58614 68383 69692 104538 117228 136766 185611 205149 209076 273532 371222 410298 556833 742444 820596 1113666 1279739 1299277 2227332 2559478 2598554 3839217 3897831 5118956 5197108 7678434 7795662 8958173 15356868 15591324 17916346 24315041 26874519 35832692 48630082 53749038 72945123 97260164 107498076 145890246 170205287 291780492 340410574 510615861 680821148 1021231722 2042463444