Search a number
-
+
2054442012 = 2237229211571
BaseRepresentation
bin111101001110100…
…0100110000011100
312022011210110121220
41322131010300130
513201414121022
6535505453340
7101624316600
oct17235046034
95264713556
102054442012
11964751767
12494041250
1326982957c
14156bcb500
15c056885c
hex7a744c1c

2054442012 has 144 divisors (see below), whose sum is σ = 5806120320. Its totient is φ = 563068800.

The previous prime is 2054442007. The next prime is 2054442023. The reversal of 2054442012 is 2102444502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3597687 + ... + 3598257.

It is an arithmetic number, because the mean of its divisors is an integer number (40320280).

Almost surely, 22054442012 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 2054442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903060160).

2054442012 is an abundant number, since it is smaller than the sum of its proper divisors (3751678308).

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

2054442012 is a wasteful number, since it uses less digits than its factorization.

2054442012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2054442012 is about 45325.9529629549. The cubic root of 2054442012 is about 1271.2509656965.

Adding to 2054442012 its reverse (2102444502), we get a palindrome (4156886514).

The spelling of 2054442012 in words is "two billion, fifty-four million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 211 294 348 406 422 571 588 609 633 812 844 1142 1218 1266 1421 1477 1713 2284 2436 2532 2842 2954 3426 3997 4263 4431 5684 5908 6119 6852 7994 8526 8862 10339 11991 12238 15988 16559 17052 17724 18357 20678 23982 24476 27979 31017 33118 36714 41356 42833 47964 49677 55958 62034 66236 73428 83937 85666 99354 111916 115913 120481 124068 128499 167874 171332 198708 231826 240962 256998 299831 335748 347739 361443 463652 481924 513996 599662 695478 722886 811391 843367 899493 1199324 1390956 1445772 1622782 1686734 1798986 2434173 2530101 3245564 3373468 3493949 3597972 4868346 5060202 5903569 6987898 9736692 10120404 10481847 11807138 13975796 17710707 20963694 23614276 24457643 35421414 41927388 48915286 70842828 73372929 97830572 146745858 171203501 293491716 342407002 513610503 684814004 1027221006 2054442012