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4099909392 = 243311383987
BaseRepresentation
bin1111010001011111…
…1010011100010000
3101120201200222101000
43310113322130100
531344034100032
61514455142000
7203412440415
oct36427723420
911521628330
104099909392
111814323677
12965074900
13504532bb7
142ac72010c
1518ee0ce7c
hexf45fa710

4099909392 has 80 divisors (see below), whose sum is σ = 11872543680. Its totient is φ = 1354526208.

The previous prime is 4099909391. The next prime is 4099909453. The reversal of 4099909392 is 2939099904.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4099909391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6823 + ... + 90809.

It is an arithmetic number, because the mean of its divisors is an integer number (148406796).

Almost surely, 24099909392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099909392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936271840).

4099909392 is an abundant number, since it is smaller than the sum of its proper divisors (7772634288).

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

4099909392 is a wasteful number, since it uses less digits than its factorization.

4099909392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84117 (or 84105 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 4099909392 is about 64030.5348408086. The cubic root of 4099909392 is about 1600.5088735543.

The spelling of 4099909392 in words is "four billion, ninety-nine million, nine hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 48816 83987 167974 251961 335948 503922 671896 755883 1007844 1343792 1511766 2015688 2267649 3023532 4031376 4535298 6047064 9070596 9490531 12094128 18141192 18981062 28471593 36282384 37962124 56943186 75924248 85414779 113886372 151848496 170829558 227772744 256244337 341659116 455545488 512488674 683318232 1024977348 1366636464 2049954696 4099909392