Search a number
-
+
4149182004 = 22311152320639
BaseRepresentation
bin1111011101001111…
…0111111000110100
3101201011102021200120
43313103313320310
531444142311004
61523415211540
7204551315352
oct36723677064
911634367616
104149182004
11183a117940
12979676bb0
135117c51a6
142b50a87d2
151943e23d9
hexf74f7e34

4149182004 has 48 divisors (see below), whose sum is σ = 10569000960. Its totient is φ = 1256441440.

The previous prime is 4149181979. The next prime is 4149182017. The reversal of 4149182004 is 4002819414.

It is a super-2 number, since 2×41491820042 = 34431422604634912032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 190717 + ... + 211355.

It is an arithmetic number, because the mean of its divisors is an integer number (220187520).

Almost surely, 24149182004 is an apocalyptic number.

4149182004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4149182004 is an abundant number, since it is smaller than the sum of its proper divisors (6419818956).

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

4149182004 is a wasteful number, since it uses less digits than its factorization.

4149182004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22180 (or 22178 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4149182004 is about 64414.1444404876. The cubic root of 4149182004 is about 1606.8949844165.

The spelling of 4149182004 in words is "four billion, one hundred forty-nine million, one hundred eighty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1523 3046 4569 6092 9138 16753 18276 20639 33506 41278 50259 61917 67012 82556 100518 123834 201036 227029 247668 454058 681087 908116 1362174 2724348 31433197 62866394 94299591 125732788 188599182 345765167 377198364 691530334 1037295501 1383060668 2074591002 4149182004