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4040357940 = 22325113198641
BaseRepresentation
bin1111000011010010…
…1111100000110100
3101102120122110010200
43300310233200310
531233312423230
61504530520500
7202060322133
oct36064574064
911376573120
104040357940
1117937497a3
12949136130
134c50b2158
142a485b91a
15189a98160
hexf0d2f834

4040357940 has 72 divisors (see below), whose sum is σ = 12364272648. Its totient is φ = 1067888640.

The previous prime is 4040357933. The next prime is 4040357941. The reversal of 4040357940 is 497530404.

4040357940 is a `hidden beast` number, since 4 + 0 + 40 + 3 + 579 + 40 = 666.

4040357940 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 207014544 + 3833343396 = 14388^2 + 61914^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4040357895 and 4040357904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040357941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78981 + ... + 119660.

It is an arithmetic number, because the mean of its divisors is an integer number (171726009).

Almost surely, 24040357940 is an apocalyptic number.

It is an amenable number.

4040357940 is an abundant number, since it is smaller than the sum of its proper divisors (8323914708).

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

4040357940 is a wasteful number, since it uses less digits than its factorization.

4040357940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198769 (or 198764 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4040357940 is about 63563.8099865010. The cubic root of 4040357940 is about 1592.7218834403.

The spelling of 4040357940 in words is "four billion, forty million, three hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 198641 397282 595923 794564 993205 1191846 1787769 1986410 2383692 2979615 3575538 3972820 5959230 7151076 8938845 11918460 17877690 22446433 35755380 44892866 67339299 89785732 112232165 134678598 202017897 224464330 269357196 336696495 404035794 448928660 673392990 808071588 1010089485 1346785980 2020178970 4040357940