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40020957 = 3229153337
BaseRepresentation
bin1001100010101…
…0101111011101
32210022021102200
42120222233131
540221132312
63545442113
7664113114
oct230525735
983267380
1040020957
1120655379
12114a0339
1383a3252
14545ac7b
1537a80dc
hex262abdd

40020957 has 12 divisors (see below), whose sum is σ = 59801820. Its totient is φ = 25760448.

The previous prime is 40020949. The next prime is 40020971. The reversal of 40020957 is 75902004.

40020957 is a `hidden beast` number, since 400 + 209 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15280281 + 24740676 = 3909^2 + 4974^2 .

It is not a de Polignac number, because 40020957 - 23 = 40020949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40020957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40020997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76408 + ... + 76929.

It is an arithmetic number, because the mean of its divisors is an integer number (4983485).

Almost surely, 240020957 is an apocalyptic number.

It is an amenable number.

40020957 is a deficient number, since it is larger than the sum of its proper divisors (19780863).

40020957 is a wasteful number, since it uses less digits than its factorization.

40020957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153372 (or 153369 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40020957 is about 6326.2118997074. The cubic root of 40020957 is about 342.0549055175.

The spelling of 40020957 in words is "forty million, twenty thousand, nine hundred fifty-seven".

Divisors: 1 3 9 29 87 261 153337 460011 1380033 4446773 13340319 40020957