Search a number
-
+
2055343464 = 2333471931049
BaseRepresentation
bin111101010000010…
…0000110101101000
312022020111021012000
41322200200311220
513202131442324
6535541051000
7101635062666
oct17240406550
95266437160
102055343464
11965207a69
124943b6a60
13269a83985
14156d83c36
15c06959c9
hex7a820d68

2055343464 has 128 divisors (see below), whose sum is σ = 5866560000. Its totient is φ = 666427392.

The previous prime is 2055343463. The next prime is 2055343481. The reversal of 2055343464 is 4643435502.

2055343464 is a `hidden beast` number, since 2 + 0 + 553 + 43 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2055343463) 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 31 ways as a sum of consecutive naturals, for example, 1958812 + ... + 1959860.

It is an arithmetic number, because the mean of its divisors is an integer number (45832500).

Almost surely, 22055343464 is an apocalyptic number.

2055343464 is a gapful number since it is divisible by the number (24) 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 2055343464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933280000).

2055343464 is an abundant number, since it is smaller than the sum of its proper divisors (3811216536).

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

2055343464 is a wasteful number, since it uses less digits than its factorization.

2055343464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 2055343464 is about 45335.8959765879. The cubic root of 2055343464 is about 1271.4368724859.

Adding to 2055343464 its reverse (4643435502), we get a palindrome (6698778966).

The spelling of 2055343464 in words is "two billion, fifty-five million, three hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 193 216 282 376 386 423 564 579 772 846 1049 1128 1158 1269 1544 1692 1737 2098 2316 2538 3147 3384 3474 4196 4632 5076 5211 6294 6948 8392 9071 9441 10152 10422 12588 13896 18142 18882 20844 25176 27213 28323 36284 37764 41688 49303 54426 56646 72568 75528 81639 98606 108852 113292 147909 163278 197212 202457 217704 226584 244917 295818 326556 394424 404914 443727 489834 591636 607371 653112 809828 887454 979668 1183272 1214742 1331181 1619656 1774908 1822113 1959336 2429484 2662362 3549816 3644226 4858968 5324724 5466339 7288452 9515479 10649448 10932678 14576904 19030958 21865356 28546437 38061916 43730712 57092874 76123832 85639311 114185748 171278622 228371496 256917933 342557244 513835866 685114488 1027671732 2055343464