Search a number
-
+
54735345 = 345743449
BaseRepresentation
bin1101000011001…
…1000111110001
310210222211210000
43100303013301
5103003012340
65233100213
71233146160
oct320630761
9123884700
1054735345
1128995525
12163b7669
13b4558a2
1473ab3d7
154c12d30
hex34331f1

54735345 has 80 divisors (see below), whose sum is σ = 114998400. Its totient is φ = 24385536.

The previous prime is 54735341. The next prime is 54735353. The reversal of 54735345 is 54353745.

54735345 is a `hidden beast` number, since 54 + 73 + 534 + 5 = 666.

54735345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54735345 - 22 = 54735341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54735341) 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 79 ways as a sum of consecutive naturals, for example, 121681 + ... + 122129.

It is an arithmetic number, because the mean of its divisors is an integer number (1437480).

Almost surely, 254735345 is an apocalyptic number.

It is an amenable number.

54735345 is an abundant number, since it is smaller than the sum of its proper divisors (60263055).

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

54735345 is a wasteful number, since it uses less digits than its factorization.

54735345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 54735345 is about 7398.3339340692. Note that the first 3 decimals coincide. The cubic root of 54735345 is about 379.6842830089.

The spelling of 54735345 in words is "fifty-four million, seven hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 81 105 129 135 189 215 301 315 387 405 449 567 645 903 945 1161 1347 1505 1935 2245 2709 2835 3143 3483 4041 4515 5805 6735 8127 9429 12123 13545 15715 17415 19307 20205 24381 28287 36369 40635 47145 57921 60615 84861 96535 121905 135149 141435 173763 181845 254583 289605 405447 424305 521289 675745 868815 1216341 1272915 1563867 2027235 2606445 3649023 6081705 7819335 10947069 18245115 54735345