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54064395 = 3357211743
BaseRepresentation
bin1100111000111…
…1010100001011
310202201202102000
43032033110023
5102320030040
65210442043
71224353100
oct316172413
9122652360
1054064395
1128577420
1216133323
13b27c388
147274aa7
154b2e130
hex338f50b

54064395 has 96 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 22438080.

The previous prime is 54064379. The next prime is 54064397. The reversal of 54064395 is 59346045.

It is a happy number.

54064395 is a `hidden beast` number, since 5 + 4 + 0 + 643 + 9 + 5 = 666.

It is not a de Polignac number, because 54064395 - 24 = 54064379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54064397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72394 + ... + 73136.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 254064395 is an apocalyptic number.

54064395 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54064395 is an abundant number, since it is smaller than the sum of its proper divisors (68070645).

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

54064395 is a wasteful number, since it uses less digits than its factorization.

54064395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54064395 is about 7352.8494476631. The cubic root of 54064395 is about 378.1265008706.

It can be divided in two parts, 5406 and 4395, that added together give a square (9801 = 992).

The spelling of 54064395 in words is "fifty-four million, sixty-four thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 743 945 1155 1323 1485 1617 2079 2205 2229 2695 3465 3715 4851 5201 6615 6687 8085 8173 10395 11145 14553 15603 20061 24255 24519 26005 33435 36407 40865 46809 57211 72765 73557 78015 100305 109221 122595 140427 171633 182035 220671 234045 286055 327663 367785 400477 514899 546105 702135 858165 982989 1103355 1201431 1544697 1638315 2002385 2574495 3604293 4914945 6007155 7723485 10812879 18021465 54064395