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4123251840 = 27352147527
BaseRepresentation
bin1111010111000011…
…1101010010000000
3101122100121220012010
43311300331102000
531421023024330
61521051332520
7204115030251
oct36560752200
911570556163
104123251840
111826517154
12970a51140
135093167b6
142b1878b28
15191ebe3b0
hexf5c3d480

4123251840 has 64 divisors (see below), whose sum is σ = 13142871360. Its totient is φ = 1099533312.

The previous prime is 4123251833. The next prime is 4123251863. The reversal of 4123251840 is 481523214.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4123251798 and 4123251807.

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, 1071844 + ... + 1075683.

It is an arithmetic number, because the mean of its divisors is an integer number (205357365).

Almost surely, 24123251840 is an apocalyptic number.

4123251840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4123251840 is an abundant number, since it is smaller than the sum of its proper divisors (9019619520).

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

4123251840 is a wasteful number, since it uses less digits than its factorization.

4123251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147549 (or 2147537 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4123251840 is about 64212.5520439735. The cubic root of 4123251840 is about 1603.5405760882.

The spelling of 4123251840 in words is "four billion, one hundred twenty-three million, two hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2147527 4295054 6442581 8590108 10737635 12885162 17180216 21475270 25770324 32212905 34360432 42950540 51540648 64425810 68720864 85901080 103081296 128851620 137441728 171802160 206162592 257703240 274883456 343604320 412325184 515406480 687208640 824650368 1030812960 1374417280 2061625920 4123251840