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4056548040 = 233451252021
BaseRepresentation
bin1111000111001010…
…0000001011001000
3101110201002222210000
43301302200023020
531301434014130
61510305523000
7202345042446
oct36162401310
911421088700
104056548040
1117a18a7646
12952643460
134c85603ac
142a6a73b96
1518b1e5260
hexf1ca02c8

4056548040 has 80 divisors (see below), whose sum is σ = 13634519580. Its totient is φ = 1081745280.

The previous prime is 4056548029. The next prime is 4056548053. The reversal of 4056548040 is 408456504.

It can be written as a sum of positive squares in 2 ways, for example, as 3849706116 + 206841924 = 62046^2 + 14382^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 4056547986 and 4056548004.

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 19 ways as a sum of consecutive naturals, for example, 622771 + ... + 629250.

Almost surely, 24056548040 is an apocalyptic number.

4056548040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4056548040 is an abundant number, since it is smaller than the sum of its proper divisors (9577971540).

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

4056548040 is a wasteful number, since it uses less digits than its factorization.

4056548040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252044 (or 1252031 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4056548040 is about 63691.0357899760. The cubic root of 4056548040 is about 1594.8464444043.

The spelling of 4056548040 in words is "four billion, fifty-six million, five hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1252021 2504042 3756063 5008084 6260105 7512126 10016168 11268189 12520210 15024252 18780315 22536378 25040420 30048504 33804567 37560630 45072756 50080840 56340945 67609134 75121260 90145512 101413701 112681890 135218268 150242520 169022835 202827402 225363780 270436536 338045670 405654804 450727560 507068505 676091340 811309608 1014137010 1352182680 2028274020 4056548040