Search a number
-
+
40468415 = 5131753691
BaseRepresentation
bin1001101001011…
…1111110111111
32211011000020012
42122113332333
540324442130
64003213435
71000655501
oct232277677
984130205
1040468415
1120930579
121167727b
1384cbb10
145535d71
153845995
hex2697fbf

40468415 has 32 divisors (see below), whose sum is σ = 56500416. Its totient is φ = 27555840.

The previous prime is 40468411. The next prime is 40468429. The reversal of 40468415 is 51486404.

It is not a de Polignac number, because 40468415 - 22 = 40468411 is a prime.

It is a super-2 number, since 2×404684152 = 3275385225224450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40468411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58220 + ... + 58910.

It is an arithmetic number, because the mean of its divisors is an integer number (1765638).

Almost surely, 240468415 is an apocalyptic number.

40468415 is a deficient number, since it is larger than the sum of its proper divisors (16032001).

40468415 is a wasteful number, since it uses less digits than its factorization.

40468415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 40468415 is about 6361.4789946993. The cubic root of 40468415 is about 343.3249759698.

The spelling of 40468415 in words is "forty million, four hundred sixty-eight thousand, four hundred fifteen".

Divisors: 1 5 13 17 53 65 85 221 265 689 691 901 1105 3445 3455 4505 8983 11713 11747 36623 44915 58565 58735 152711 183115 476099 622591 763555 2380495 3112955 8093683 40468415