Search a number
-
+
64063395 = 325111723331
BaseRepresentation
bin1111010001100…
…0011110100011
311110112202110100
43310120132203
5112400012040
610205033443
71405346514
oct364303643
9143482410
1064063395
1133186860
1219555883
1310370646
148718a0b
155956b30
hex3d187a3

64063395 has 96 divisors (see below), whose sum is σ = 134244864. Its totient is φ = 27878400.

The previous prime is 64063393. The next prime is 64063399. The reversal of 64063395 is 59336046.

64063395 is a `hidden beast` number, since 640 + 6 + 3 + 3 + 9 + 5 = 666.

It is not a de Polignac number, because 64063395 - 21 = 64063393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64063393) 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, 193380 + ... + 193710.

It is an arithmetic number, because the mean of its divisors is an integer number (1398384).

Almost surely, 264063395 is an apocalyptic number.

64063395 is an abundant number, since it is smaller than the sum of its proper divisors (70181469).

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

64063395 is a wasteful number, since it uses less digits than its factorization.

64063395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 64063395 is about 8003.9612068025. The cubic root of 64063395 is about 400.1320293325.

It can be divided in two parts, 6406 and 3395, that added together give a square (9801 = 992).

The spelling of 64063395 in words is "sixty-four million, sixty-three thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 17 23 33 45 51 55 69 85 99 115 153 165 187 207 253 255 331 345 391 495 561 759 765 935 993 1035 1173 1265 1655 1683 1955 2277 2805 2979 3519 3641 3795 4301 4965 5627 5865 7613 8415 10923 11385 12903 14895 16881 17595 18205 21505 22839 28135 32769 38065 38709 50643 54615 61897 64515 68517 83743 84405 114195 129421 163845 185691 193545 251229 253215 309485 342585 388263 418715 557073 647105 753687 928455 1164789 1256145 1423631 1941315 2785365 3768435 4270893 5823945 7118155 12812679 21354465 64063395