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4115235040 = 25573674317
BaseRepresentation
bin1111010101001001…
…1000000011100000
3101121210112121012121
43311102120003200
531412000010130
61520203434024
7203656630540
oct36522300340
911553477177
104115235040
111821a40aa4
1296a225914
1350776a827
142b078d320
15191438d7a
hexf54980e0

4115235040 has 48 divisors (see below), whose sum is σ = 11111137632. Its totient is φ = 1410937344.

The previous prime is 4115235013. The next prime is 4115235077. The reversal of 4115235040 is 405325114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4115234996 and 4115235014.

It is a congruent number.

It is an unprimeable number.

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, 1836039 + ... + 1838278.

It is an arithmetic number, because the mean of its divisors is an integer number (231482034).

Almost surely, 24115235040 is an apocalyptic number.

4115235040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115235040 is an abundant number, since it is smaller than the sum of its proper divisors (6995902592).

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

4115235040 is a wasteful number, since it uses less digits than its factorization.

4115235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674339 (or 3674331 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4115235040 is about 64150.0977395982. The cubic root of 4115235040 is about 1602.5006521756.

The spelling of 4115235040 in words is "four billion, one hundred fifteen million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3674317 7348634 14697268 18371585 25720219 29394536 36743170 51440438 58789072 73486340 102880876 117578144 128601095 146972680 205761752 257202190 293945360 411523504 514404380 587890720 823047008 1028808760 2057617520 4115235040