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2051020244 = 2272132941677
BaseRepresentation
bin111101001000000…
…0001010111010100
312021221100121211202
41322100001113110
513200030121434
6535304252032
7101553245600
oct17220012724
95257317752
102051020244
11962824959
12492a71018
13268bcbc60
1415657a500
15c00dea7e
hex7a4015d4

2051020244 has 144 divisors (see below), whose sum is σ = 4772008080. Its totient is φ = 763176960.

The previous prime is 2051020243. The next prime is 2051020253. The reversal of 2051020244 is 4420201502.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25120144 + 2025900100 = 5012^2 + 45010^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051020243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3029234 + ... + 3029910.

It is an arithmetic number, because the mean of its divisors is an integer number (33138945).

Almost surely, 22051020244 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 2051020244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386004040).

2051020244 is an abundant number, since it is smaller than the sum of its proper divisors (2720987836).

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

2051020244 is a wasteful number, since it uses less digits than its factorization.

2051020244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2051020244 is about 45288.1909994206. The cubic root of 2051020244 is about 1270.5447977789.

Adding to 2051020244 its reverse (4420201502), we get a palindrome (6471221746).

The spelling of 2051020244 in words is "two billion, fifty-one million, twenty thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 29 41 49 52 58 82 91 98 116 164 182 196 203 287 364 377 406 533 574 637 677 754 812 1066 1148 1189 1274 1354 1421 1508 2009 2132 2378 2548 2639 2708 2842 3731 4018 4739 4756 5278 5684 7462 8036 8323 8801 9478 10556 14924 15457 16646 17602 18473 18956 19633 26117 27757 30914 33173 33292 35204 36946 39266 52234 55514 58261 61607 61828 66346 73892 78532 104468 108199 111028 116522 123214 132692 137431 194299 216398 233044 246428 255229 274862 360841 388598 431249 432796 510458 549724 721682 757393 777196 804953 862498 962017 1020916 1360093 1443364 1514786 1609906 1724996 1786603 1924034 2525887 2720186 3029572 3219812 3573206 3848068 5051774 5440372 5634671 7146412 10103548 10464389 11269342 12506221 17681209 20928778 22538684 25012442 35362418 39442697 41857556 50024884 70724836 73250723 78885394 146501446 157770788 293002892 512755061 1025510122 2051020244