Search a number
-
+
646040745 = 33572127769
BaseRepresentation
bin100110100000011…
…100110010101001
31200000122021022000
4212200130302221
52310341300440
6144034521213
722003153500
oct4640346251
91600567260
10646040745
11301744a79
12160436209
13a3ac8b3c
1461b2d837
153bab4730
hex2681cca9

646040745 has 96 divisors (see below), whose sum is σ = 1348300800. Its totient is φ = 292626432.

The previous prime is 646040723. The next prime is 646040761. The reversal of 646040745 is 547040646.

646040745 is a `hidden beast` number, since 6 + 4 + 604 + 0 + 7 + 45 = 666.

It is not a de Polignac number, because 646040745 - 221 = 643943593 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 839721 + ... + 840489.

It is an arithmetic number, because the mean of its divisors is an integer number (14044800).

Almost surely, 2646040745 is an apocalyptic number.

It is an amenable number.

646040745 is an abundant number, since it is smaller than the sum of its proper divisors (702260055).

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

646040745 is a wasteful number, since it uses less digits than its factorization.

646040745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 646040745 is about 25417.3315869310. The cubic root of 646040745 is about 864.4767213869.

Subtracting from 646040745 its reverse (547040646), we obtain a palindrome (99000099).

The spelling of 646040745 in words is "six hundred forty-six million, forty thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 127 135 147 189 245 315 381 441 635 735 769 889 945 1143 1323 1905 2205 2307 2667 3429 3845 4445 5383 5715 6223 6615 6921 8001 11535 13335 16149 17145 18669 20763 24003 26915 31115 34605 37681 40005 48447 56007 80745 93345 97663 103815 113043 120015 145341 168021 188405 242235 280035 292989 339129 488315 565215 683641 726705 840105 878967 1017387 1464945 1695645 2050923 2636901 3418205 4394835 4785487 5086935 6152769 10254615 13184505 14356461 18458307 23927435 30763845 43069383 71782305 92291535 129208149 215346915 646040745