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3920392448 = 2874153359
BaseRepresentation
bin1110100110101100…
…0111000100000000
3101010012220120102022
43221223013010000
531012110024243
61445003341012
7166102533410
oct35153070400
911105816368
103920392448
111731a60965
12914b21768
134a629ab5b
14292950640
1517e29cb68
hexe9ac7100

3920392448 has 72 divisors (see below), whose sum is σ = 9161698560. Its totient is φ = 1639157760.

The previous prime is 3920392429. The next prime is 3920392451. The reversal of 3920392448 is 8442930293.

It is a junction number, because it is equal to n+sod(n) for n = 3920392399 and 3920392408.

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, 46793 + ... + 100151.

Almost surely, 23920392448 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 3920392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580849280).

3920392448 is an abundant number, since it is smaller than the sum of its proper divisors (5241306112).

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

3920392448 is an equidigital number, since it uses as much as digits as its factorization.

3920392448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53423 (or 53409 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 3920392448 is about 62613.0373644339. The cubic root of 3920392448 is about 1576.7996491662.

The spelling of 3920392448 in words is "three billion, nine hundred twenty million, three hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 896 1148 1312 1792 2296 2624 4592 5248 9184 10496 18368 36736 53359 73472 106718 213436 373513 426872 747026 853744 1494052 1707488 2187719 2988104 3414976 4375438 5976208 6829952 8750876 11952416 13659904 15314033 17501752 23904832 30628066 35003504 47809664 61256132 70007008 95619328 122512264 140014016 245024528 280028032 490049056 560056064 980098112 1960196224 3920392448