Search a number
-
+
40045005 = 325721113127
BaseRepresentation
bin1001100011000…
…0100111001101
32210100111102100
42120300213031
540222420010
63550145313
7664243200
oct230604715
983314370
1040045005
1120671450
12114b2239
1383b1190
145465937
1537b02c0
hex26309cd

40045005 has 144 divisors (see below), whose sum is σ = 95606784. Its totient is φ = 15240960.

The previous prime is 40045003. The next prime is 40045007. The reversal of 40045005 is 50054004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40045003) and next prime (40045007).

It is not a de Polignac number, because 40045005 - 21 = 40045003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40045003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315252 + ... + 315378.

It is an arithmetic number, because the mean of its divisors is an integer number (663936).

Almost surely, 240045005 is an apocalyptic number.

40045005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40045005 is an abundant number, since it is smaller than the sum of its proper divisors (55561779).

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

40045005 is a wasteful number, since it uses less digits than its factorization.

40045005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40045005 is about 6328.1122777650. The cubic root of 40045005 is about 342.1234037074.

Adding to 40045005 its reverse (50054004), we get a palindrome (90099009).

It can be divided in two parts, 4004 and 5005, that added together give a palindrome (9009).

The spelling of 40045005 in words is "forty million, forty-five thousand, five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 49 55 63 65 77 91 99 105 117 127 143 147 165 195 231 245 273 315 381 385 429 441 455 495 539 585 635 637 693 715 735 819 889 1001 1143 1155 1287 1365 1397 1617 1651 1905 1911 2145 2205 2667 2695 3003 3185 3465 4095 4191 4445 4851 4953 5005 5715 5733 6223 6435 6985 7007 8001 8085 8255 9009 9555 9779 11557 12573 13335 14859 15015 18161 18669 20955 21021 24255 24765 28665 29337 31115 34671 35035 40005 45045 48895 54483 56007 57785 62865 63063 68453 74295 80899 88011 90805 93345 104013 105105 127127 146685 163449 173355 205359 242697 272415 280035 315315 342265 381381 404495 440055 520065 616077 635635 728091 817245 889889 1026795 1144143 1213485 1906905 2669667 3080385 3640455 4449445 5720715 8009001 13348335 40045005