Search a number
-
+
355049541 = 33721131787
BaseRepresentation
bin10101001010011…
…010000001000101
3220202002101102000
4111022122001011
51211343041131
655121535513
711540604600
oct2512320105
9822071360
10355049541
11172463a80
129aaa4599
13587336b2
1435223337
1521284ce6
hex1529a045

355049541 has 96 divisors (see below), whose sum is σ = 689909760. Its totient is φ = 178264800.

The previous prime is 355049537. The next prime is 355049633. The reversal of 355049541 is 145940553.

It is not a de Polignac number, because 355049541 - 22 = 355049537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 355049496 and 355049505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355049501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450750 + ... + 451536.

It is an arithmetic number, because the mean of its divisors is an integer number (7186560).

Almost surely, 2355049541 is an apocalyptic number.

355049541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

355049541 is a deficient number, since it is larger than the sum of its proper divisors (334860219).

355049541 is a wasteful number, since it uses less digits than its factorization.

355049541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 355049541 is about 18842.7583171891. The cubic root of 355049541 is about 708.1028111254.

The spelling of 355049541 in words is "three hundred fifty-five million, forty-nine thousand, five hundred forty-one".

Divisors: 1 3 7 9 11 21 27 31 33 49 63 77 93 99 147 189 217 231 279 297 341 441 539 651 693 787 837 1023 1323 1519 1617 1953 2079 2361 2387 3069 4557 4851 5509 5859 7083 7161 8657 9207 13671 14553 16527 16709 21249 21483 24397 25971 38563 41013 49581 50127 60599 64449 73191 77913 115689 148743 150381 170779 181797 219573 233739 268367 347067 424193 451143 512337 545391 658719 805101 1041201 1195453 1272579 1537011 1636173 1878569 2415303 3586359 3817737 4611033 5635707 7245909 10759077 11453211 13149983 16907121 32277231 39449949 50721363 118349847 355049541