Search a number
-
+
40669776 = 243474483
BaseRepresentation
bin1001101100100…
…1001001010000
32211112020110000
42123021021100
540402413101
64011410000
71002454530
oct233111120
984466400
1040669776
1120a58894
1211753900
13856c674
1455894c0
153885486
hex26c9250

40669776 has 100 divisors (see below), whose sum is σ = 134555872. Its totient is φ = 11617344.

The previous prime is 40669757. The next prime is 40669777. The reversal of 40669776 is 67796604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40669777) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6831 + ... + 11313.

Almost surely, 240669776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40669776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67277936).

40669776 is an abundant number, since it is smaller than the sum of its proper divisors (93886096).

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

40669776 is a wasteful number, since it uses less digits than its factorization.

40669776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 40669776 is about 6377.2859430952. The cubic root of 40669776 is about 343.8934680035.

The spelling of 40669776 in words is "forty million, six hundred sixty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4483 4536 8966 9072 13449 17932 26898 31381 35864 40347 53796 62762 71728 80694 94143 107592 121041 125524 161388 188286 215184 242082 251048 282429 322776 363123 376572 484164 502096 564858 645552 726246 753144 847287 968328 1129716 1452492 1506288 1694574 1936656 2259432 2541861 2904984 3389148 4518864 5083722 5809968 6778296 10167444 13556592 20334888 40669776