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40957125 = 353119929
BaseRepresentation
bin1001110000111…
…1010011000101
32212001211121120
42130033103011
540441112000
64021504153
71005062346
oct234172305
985054546
1040957125
1121134770
1211872059
1386403b1
1456220cd
1538e06a0
hex270f4c5

40957125 has 32 divisors (see below), whose sum is σ = 74355840. Its totient is φ = 19856000.

The previous prime is 40957123. The next prime is 40957127. The reversal of 40957125 is 52175904.

40957125 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 (40957123) and next prime (40957127).

It is not a de Polignac number, because 40957125 - 21 = 40957123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40957123) 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 31 ways as a sum of consecutive naturals, for example, 840 + ... + 9089.

It is an arithmetic number, because the mean of its divisors is an integer number (2323620).

Almost surely, 240957125 is an apocalyptic number.

It is an amenable number.

40957125 is a deficient number, since it is larger than the sum of its proper divisors (33398715).

40957125 is a wasteful number, since it uses less digits than its factorization.

40957125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 40957125 is about 6399.7753866835. The cubic root of 40957125 is about 344.7014851126.

The spelling of 40957125 in words is "forty million, nine hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 9929 29787 49645 109219 148935 248225 327657 546095 744675 1241125 1638285 2730475 3723375 8191425 13652375 40957125