Search a number
-
+
40032097 = 743179743
BaseRepresentation
bin1001100010110…
…1011101100001
32210022211201021
42120231131201
540222011342
63550005441
7664160440
oct230553541
983284637
1040032097
1120662786
12114a6881
1383a8341
145460d57
1537ab567
hex262d761

40032097 has 16 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 33283152.

The previous prime is 40032079. The next prime is 40032101. The reversal of 40032097 is 79023004.

40032097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40032097 - 27 = 40031969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40032037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53508 + ... + 54250.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 240032097 is an apocalyptic number.

It is an amenable number.

40032097 is a deficient number, since it is larger than the sum of its proper divisors (7107743).

40032097 is a wasteful number, since it uses less digits than its factorization.

40032097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 40032097 is about 6327.0923021559. The cubic root of 40032097 is about 342.0866400422.

The spelling of 40032097 in words is "forty million, thirty-two thousand, ninety-seven".

Divisors: 1 7 43 179 301 743 1253 5201 7697 31949 53879 132997 223643 930979 5718871 40032097