Search a number
-
+
40992966 = 234737977
BaseRepresentation
bin1001110001100…
…0000011000110
32212010122210000
42130120003012
540443233331
64022342130
71005302010
oct234300306
985118700
1040992966
1121159693
121188a946
1386537c1
1456311b0
1538eb0e6
hex27180c6

40992966 has 80 divisors (see below), whose sum is σ = 107924256. Its totient is φ = 11384064.

The previous prime is 40992949. The next prime is 40993063. The reversal of 40992966 is 66929904.

It is a super-2 number, since 2×409929662 = 3360846522954312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41470 + ... + 42446.

Almost surely, 240992966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40992966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53962128).

40992966 is an abundant number, since it is smaller than the sum of its proper divisors (66931290).

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

40992966 is a wasteful number, since it uses less digits than its factorization.

40992966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 40992966 is about 6402.5749507522. The cubic root of 40992966 is about 344.8020035933.

The spelling of 40992966 in words is "forty million, nine hundred ninety-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 259 333 378 518 567 666 777 977 999 1134 1554 1954 1998 2331 2931 2997 4662 5862 5994 6839 6993 8793 13678 13986 17586 20517 20979 26379 36149 41034 41958 52758 61551 72298 79137 108447 123102 158274 184653 216894 253043 325341 369306 506086 553959 650682 759129 976023 1107918 1518258 1952046 2277387 2928069 4554774 5856138 6832161 13664322 20496483 40992966