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3842016256 = 2101321492
BaseRepresentation
bin1110010100000000…
…1000010000000000
3100220202102122111101
43211000020100000
530332024010011
61433123424144
7164131412401
oct34500102000
910822378441
103842016256
1116a1799751
128b2825054
13492c88900
1428638b9a8
1517746a2c1
hexe5008400

3842016256 has 99 divisors (see below), whose sum is σ = 8372706951. Its totient is φ = 1761337344.

The previous prime is 3842016197. The next prime is 3842016259. The reversal of 3842016256 is 6526102483.

The square root of 3842016256 is 61984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2079360000 + 1762656256 = 45600^2 + 41984^2 .

It is a super-2 number, since 2×38420162562 = 29522177822736515072, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3842016259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25785270 + ... + 25785418.

Almost surely, 23842016256 is an apocalyptic number.

3842016256 is the 61984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3842016256

3842016256 is an abundant number, since it is smaller than the sum of its proper divisors (4530690695).

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

3842016256 is an equidigital number, since it uses as much as digits as its factorization.

3842016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 3842016256 is about 1566.2210840459.

The spelling of 3842016256 in words is "three billion, eight hundred forty-two million, sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 149 169 208 256 298 338 416 512 596 676 832 1024 1192 1352 1664 1937 2384 2704 3328 3874 4768 5408 6656 7748 9536 10816 13312 15496 19072 21632 22201 25181 30992 38144 43264 44402 50362 61984 76288 86528 88804 100724 123968 152576 173056 177608 201448 247936 288613 355216 402896 495872 577226 710432 805792 991744 1154452 1420864 1611584 1983488 2308904 2841728 3223168 3751969 4617808 5683456 6446336 7503938 9235616 11366912 12892672 15007876 18471232 22733824 25785344 30015752 36942464 60031504 73884928 120063008 147769856 240126016 295539712 480252032 960504064 1921008128 3842016256