Search a number
-
+
40328631 = 337377379
BaseRepresentation
bin1001100111010…
…1110110110111
32210212220111000
42121311312313
540311004011
64000214343
7666534120
oct231656667
983786430
1040328631
1120845552
121160a3b3
1384802c5
1454db047
153819356
hex2675db7

40328631 has 64 divisors (see below), whose sum is σ = 71987200. Its totient is φ = 21835008.

The previous prime is 40328609. The next prime is 40328633. The reversal of 40328631 is 13682304.

It is a happy number.

40328631 is a `hidden beast` number, since 4 + 0 + 3 + 28 + 631 = 666.

It is not a de Polignac number, because 40328631 - 25 = 40328599 is a prime.

It is a super-2 number, since 2×403286312 = 3252796956668322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40328595 and 40328604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40328633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510450 + ... + 510528.

It is an arithmetic number, because the mean of its divisors is an integer number (1124800).

Almost surely, 240328631 is an apocalyptic number.

40328631 is a deficient number, since it is larger than the sum of its proper divisors (31658569).

40328631 is a wasteful number, since it uses less digits than its factorization.

40328631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40328631 is about 6350.4827375563. The cubic root of 40328631 is about 342.9292212299.

The spelling of 40328631 in words is "forty million, three hundred twenty-eight thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 37 63 73 79 111 189 219 237 259 333 511 553 657 711 777 999 1533 1659 1971 2133 2331 2701 2923 4599 4977 5767 6993 8103 8769 13797 14931 17301 18907 20461 24309 26307 40369 51903 56721 61383 72927 78921 121107 155709 170163 184149 213379 363321 510489 552447 640137 1089963 1493653 1920411 4480959 5761233 13442877 40328631