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57903940 = 2255215557
BaseRepresentation
bin1101110011100…
…0101101000100
311000221211021101
43130320231010
5104310411230
65425025444
71302114103
oct334705504
9130854241
1057903940
112a75a0a6
1217485284
13bcc4bb3
14799403a
15513baca
hex3738b44

57903940 has 24 divisors (see below), whose sum is σ = 121853592. Its totient is φ = 23112960.

The previous prime is 57903907. The next prime is 57903941. The reversal of 57903940 is 4930975.

57903940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12503296 + 45400644 = 3536^2 + 6738^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57903940.

It is not an unprimeable number, because it can be changed into a prime (57903941) 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 7 ways as a sum of consecutive naturals, for example, 7642 + ... + 13198.

It is an arithmetic number, because the mean of its divisors is an integer number (5077233).

Almost surely, 257903940 is an apocalyptic number.

It is an amenable number.

57903940 is an abundant number, since it is smaller than the sum of its proper divisors (63949652).

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

57903940 is a wasteful number, since it uses less digits than its factorization.

57903940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 57903940 is about 7609.4638444505. The cubic root of 57903940 is about 386.8738468912.

It can be divided in two parts, 5790 and 3940, that added together give a triangular number (9730 = T139).

The spelling of 57903940 in words is "fifty-seven million, nine hundred three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 521 1042 2084 2605 5210 5557 10420 11114 22228 27785 55570 111140 2895197 5790394 11580788 14475985 28951970 57903940