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40125657 = 311313773
BaseRepresentation
bin1001100100010…
…0010011011001
32210111121001110
42121010103121
540233010112
63552010533
7665030265
oct231042331
983447043
1040125657
1120717000
1211530a49
13840bac0
1454870a5
1537c913c
hex26444d9

40125657 has 32 divisors (see below), whose sum is σ = 63455616. Its totient is φ = 22418880.

The previous prime is 40125653. The next prime is 40125671. The reversal of 40125657 is 75652104.

It is not a de Polignac number, because 40125657 - 22 = 40125653 is a prime.

It is a super-2 number, since 2×401256572 = 3220136699363298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40125653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51523 + ... + 52295.

It is an arithmetic number, because the mean of its divisors is an integer number (1982988).

Almost surely, 240125657 is an apocalyptic number.

It is an amenable number.

40125657 is a deficient number, since it is larger than the sum of its proper divisors (23329959).

40125657 is a wasteful number, since it uses less digits than its factorization.

40125657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 40125657 is about 6334.4815888911. The cubic root of 40125657 is about 342.3529324013.

It can be divided in two parts, 4012 and 5657, that added together give a palindrome (9669).

The spelling of 40125657 in words is "forty million, one hundred twenty-five thousand, six hundred fifty-seven".

Divisors: 1 3 11 13 33 39 121 143 363 429 773 1331 1573 2319 3993 4719 8503 10049 17303 25509 30147 51909 93533 110539 280599 331617 1028863 1215929 3086589 3647787 13375219 40125657