Search a number
-
+
40958320 = 2451339383
BaseRepresentation
bin1001110000111…
…1100101110000
32212001220020211
42130033211300
540441131240
64021513504
71005066004
oct234174560
985056224
1040958320
1121135657
1211872894
138640ac0
145622704
1538e0bea
hex270f970

40958320 has 40 divisors (see below), whose sum is σ = 102555936. Its totient is φ = 15122688.

The previous prime is 40958299. The next prime is 40958341. The reversal of 40958320 is 2385904.

40958320 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 (40958299) and next prime (40958341).

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 18652 + ... + 20731.

Almost surely, 240958320 is an apocalyptic number.

40958320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40958320 is an abundant number, since it is smaller than the sum of its proper divisors (61597616).

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

40958320 is a wasteful number, since it uses less digits than its factorization.

40958320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39409 (or 39403 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 40958320 is about 6399.8687486541. The cubic root of 40958320 is about 344.7048375148.

The spelling of 40958320 in words is "forty million, nine hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 39383 78766 157532 196915 315064 393830 511979 630128 787660 1023958 1575320 2047916 2559895 3150640 4095832 5119790 8191664 10239580 20479160 40958320