Search a number
-
+
3949018656 = 2531118672003
BaseRepresentation
bin1110101101100001…
…0011111000100000
3101012012202221012020
43223120103320200
531041422044111
61451505101440
7166601050632
oct35330237040
911165687166
103949018656
111747133190
12922627880
134ac1b173b
14296682a52
15181a54906
hexeb613e20

3949018656 has 96 divisors (see below), whose sum is σ = 11320259328. Its totient is φ = 1195434240.

The previous prime is 3949018637. The next prime is 3949018663. The reversal of 3949018656 is 6568109493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×39490186563 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3949018599 and 3949018608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1970551 + ... + 1972553.

It is an arithmetic number, because the mean of its divisors is an integer number (117919368).

Almost surely, 23949018656 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 3949018656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660129664).

3949018656 is an abundant number, since it is smaller than the sum of its proper divisors (7371240672).

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

3949018656 is a wasteful number, since it uses less digits than its factorization.

3949018656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 3949018656 is about 62841.2178112423. The cubic root of 3949018656 is about 1580.6282093048.

The spelling of 3949018656 in words is "three billion, nine hundred forty-nine million, eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1867 2003 3734 4006 5601 6009 7468 8012 11202 12018 14936 16024 20537 22033 22404 24036 29872 32048 41074 44066 44808 48072 59744 61611 64096 66099 82148 88132 89616 96144 123222 132198 164296 176264 179232 192288 246444 264396 328592 352528 492888 528792 657184 705056 985776 1057584 1971552 2115168 3739601 7479202 11218803 14958404 22437606 29916808 41135611 44875212 59833616 82271222 89750424 119667232 123406833 164542444 179500848 246813666 329084888 359001696 493627332 658169776 987254664 1316339552 1974509328 3949018656