Search a number
-
+
2555441024 = 27192291907
BaseRepresentation
bin1001100001010000…
…1110111110000000
320121002111212001212
42120110032332000
520213143103044
61101323545252
7120216614243
oct23024167600
96532455055
102555441024
1110a1530734
125b398b228
133195712a6
141a356325a
15ee52ca9e
hex9850ef80

2555441024 has 96 divisors (see below), whose sum is σ = 5561152200. Its totient is φ = 1168118784.

The previous prime is 2555440957. The next prime is 2555441047. The reversal of 2555441024 is 4201445552.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1339079 + ... + 1340985.

Almost surely, 22555441024 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 2555441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780576100).

2555441024 is an abundant number, since it is smaller than the sum of its proper divisors (3005711176).

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

2555441024 is a wasteful number, since it uses less digits than its factorization.

2555441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 2555441024 is about 50551.3701495815. The cubic root of 2555441024 is about 1367.1682186366.

Adding to 2555441024 its reverse (4201445552), we get a palindrome (6756886576).

The spelling of 2555441024 in words is "two billion, five hundred fifty-five million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 361 464 551 608 722 928 1102 1216 1444 1856 1907 2204 2432 2888 3712 3814 4408 5776 7628 8816 10469 11552 15256 17632 20938 23104 30512 35264 36233 41876 46208 55303 61024 70528 72466 83752 110606 122048 144932 167504 221212 244096 289864 335008 442424 579728 670016 688427 884848 1050757 1159456 1340032 1376854 1769696 2101514 2318912 2753708 3539392 4203028 4637824 5507416 7078784 8406056 11014832 16812112 19964383 22029664 33624224 39928766 44059328 67248448 79857532 88118656 134496896 159715064 319430128 638860256 1277720512 2555441024