Search a number
-
+
40937976 = 23322359419
BaseRepresentation
bin1001110000101…
…0100111111000
32212000212100100
42130022213320
540440003401
64021235400
71004652462
oct234124770
985025310
1040937976
1121121342
1211862b60
138634771
145619132
1538d9b86
hex270a9f8

40937976 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 12800832.

The previous prime is 40937969. The next prime is 40937983. The reversal of 40937976 is 67973904.

40937976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40937969) and next prime (40937983).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97495 + ... + 97913.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 240937976 is an apocalyptic number.

40937976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40937976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

40937976 is an abundant number, since it is smaller than the sum of its proper divisors (76998024).

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

40937976 is a wasteful number, since it uses less digits than its factorization.

40937976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 40937976 is about 6398.2791436448. The cubic root of 40937976 is about 344.6477564252.

The spelling of 40937976 in words is "forty million, nine hundred thirty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 59 69 72 92 118 138 177 184 207 236 276 354 414 419 472 531 552 708 828 838 1062 1257 1357 1416 1656 1676 2124 2514 2714 3352 3771 4071 4248 5028 5428 7542 8142 9637 10056 10856 12213 15084 16284 19274 24426 24721 28911 30168 32568 38548 48852 49442 57822 74163 77096 86733 97704 98884 115644 148326 173466 197768 222489 231288 296652 346932 444978 568583 593304 693864 889956 1137166 1705749 1779912 2274332 3411498 4548664 5117247 6822996 10234494 13645992 20468988 40937976