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3939786752 = 2131143721
BaseRepresentation
bin1110101011010100…
…0110000000000000
3101011120101220101212
43222311012000000
531032041134002
61450535145252
7166426430516
oct35265060000
911146356355
103939786752
1117419a8110
1291b515228
134aa2cb685
1429535c4b6
15180d2e352
hexead46000

3939786752 has 56 divisors (see below), whose sum is σ = 8595570312. Its totient is φ = 1790771200.

The previous prime is 3939786727. The next prime is 3939786787. The reversal of 3939786752 is 2576879393.

It is a junction number, because it is equal to n+sod(n) for n = 3939786691 and 3939786700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68252 + ... + 111972.

It is an arithmetic number, because the mean of its divisors is an integer number (153492327).

Almost surely, 23939786752 is an apocalyptic number.

3939786752 is a gapful number since it is divisible by the number (32) 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 3939786752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297785156).

3939786752 is an abundant number, since it is smaller than the sum of its proper divisors (4655783560).

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

3939786752 is an equidigital number, since it uses as much as digits as its factorization.

3939786752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43758 (or 43734 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 59.

The square root of 3939786752 is about 62767.7206213512. The cubic root of 3939786752 is about 1579.3955322750.

The spelling of 3939786752 in words is "three billion, nine hundred thirty-nine million, seven hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 22528 43721 45056 87442 90112 174884 349768 480931 699536 961862 1399072 1923724 2798144 3847448 5596288 7694896 11192576 15389792 22385152 30779584 44770304 61559168 89540608 123118336 179081216 246236672 358162432 492473344 984946688 1969893376 3939786752