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4040408484 = 2232724353267
BaseRepresentation
bin1111000011010011…
…1011110110100100
3101102120202000110200
43300310323312210
531233321032414
61504531550500
7202060622400
oct36064736644
911376660420
104040408484
111793783772
1294915b430
134c50cc168
142a4872100
15189aa8109
hexf0d3bda4

4040408484 has 108 divisors (see below), whose sum is σ = 12157249104. Its totient is φ = 1127534688.

The previous prime is 4040408483. The next prime is 4040408507. The reversal of 4040408484 is 4848040404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4040408483) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49219 + ... + 102485.

Almost surely, 24040408484 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 4040408484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078624552).

4040408484 is an abundant number, since it is smaller than the sum of its proper divisors (8116840620).

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

4040408484 is a wasteful number, since it uses less digits than its factorization.

4040408484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53334 (or 53322 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4040408484 is about 63564.2075699839. The cubic root of 4040408484 is about 1592.7285249476.

Adding to 4040408484 its reverse (4848040404), we get a palindrome (8888448888).

The spelling of 4040408484 in words is "four billion, forty million, four hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 49 63 84 86 98 126 129 147 172 196 252 258 294 301 387 441 516 588 602 774 882 903 1204 1548 1764 1806 2107 2709 3612 4214 5418 6321 8428 10836 12642 18963 25284 37926 53267 75852 106534 159801 213068 319602 372869 479403 639204 745738 958806 1118607 1491476 1917612 2237214 2290481 2610083 3355821 4474428 4580962 5220166 6711642 6871443 7830249 9161924 10440332 13423284 13742886 15660498 16033367 20614329 23490747 27485772 31320996 32066734 41228658 46981494 48100101 64133468 82457316 93962988 96200202 112233569 144300303 192400404 224467138 288600606 336700707 448934276 577201212 673401414 1010102121 1346802828 2020204242 4040408484