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4038499040 = 25530782217
BaseRepresentation
bin1111000010110110…
…1001101011100000
3101102110011000012112
43300231221223200
531232323432130
61504423014452
7202035450452
oct36055515340
911373130175
104038499040
11179269a114
1294859a428
134c48b1004
142a44d62d2
1518982c495
hexf0b69ae0

4038499040 has 48 divisors (see below), whose sum is σ = 9572148432. Its totient is φ = 1610118144.

The previous prime is 4038499037. The next prime is 4038499061. The reversal of 4038499040 is 409948304.

4038499040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8012 + ... + 90228.

It is an arithmetic number, because the mean of its divisors is an integer number (199419759).

Almost surely, 24038499040 is an apocalyptic number.

4038499040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786074216).

4038499040 is an abundant number, since it is smaller than the sum of its proper divisors (5533649392).

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

4038499040 is a wasteful number, since it uses less digits than its factorization.

4038499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82539 (or 82531 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 4038499040 is about 63549.1859900660. The cubic root of 4038499040 is about 1592.4775845501.

The spelling of 4038499040 in words is "four billion, thirty-eight million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 307 614 1228 1535 2456 3070 4912 6140 9824 12280 24560 49120 82217 164434 328868 411085 657736 822170 1315472 1644340 2630944 3288680 6577360 13154720 25240619 50481238 100962476 126203095 201924952 252406190 403849904 504812380 807699808 1009624760 2019249520 4038499040