Search a number
-
+
40973952 = 273106703
BaseRepresentation
bin1001110001001…
…1011010000000
32212002200200210
42130103122000
540442131302
64022114120
71005162405
oct234233200
985080623
1040973952
1121146378
121187b940
138647c56
1456282ac
1538e566c
hex2713680

40973952 has 32 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 13657856.

The previous prime is 40973941. The next prime is 40973953. The reversal of 40973952 is 25937904.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40973952.

It is not an unprimeable number, because it can be changed into a prime (40973953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52968 + ... + 53735.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 240973952 is an apocalyptic number.

It is an amenable number.

40973952 is an abundant number, since it is smaller than the sum of its proper divisors (67864128).

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

40973952 is a wasteful number, since it uses less digits than its factorization.

40973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106720 (or 106708 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 40973952 is about 6401.0899071955. The cubic root of 40973952 is about 344.7486848589.

The spelling of 40973952 in words is "forty million, nine hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 106703 213406 320109 426812 640218 853624 1280436 1707248 2560872 3414496 5121744 6828992 10243488 13657984 20486976 40973952