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4031639808 = 28373971889
BaseRepresentation
bin1111000001001101…
…1111000100000000
3101101222020112002220
43300103133010000
531224044433213
61504020011040
7201623241630
oct36023370400
911358215086
104031639808
111789834729
12946230a80
134c334bbb1
142a362c6c0
15188e24e23
hexf04df100

4031639808 has 144 divisors (see below), whose sum is σ = 12300301440. Its totient is φ = 1148387328.

The previous prime is 4031639797. The next prime is 4031639831. The reversal of 4031639808 is 8089361304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4031639808.

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 15 ways as a sum of consecutive naturals, for example, 2133328 + ... + 2135216.

It is an arithmetic number, because the mean of its divisors is an integer number (85418760).

Almost surely, 24031639808 is an apocalyptic number.

4031639808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4031639808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150150720).

4031639808 is an abundant number, since it is smaller than the sum of its proper divisors (8268661632).

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

4031639808 is a wasteful number, since it uses less digits than its factorization.

4031639808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4031639808 is about 63495.1951567991. The cubic root of 4031639808 is about 1591.5754867546.

The spelling of 4031639808 in words is "four billion, thirty-one million, six hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 397 448 672 768 794 896 1191 1344 1588 1792 1889 2382 2688 2779 3176 3778 4764 5376 5558 5667 6352 7556 8337 9528 11116 11334 12704 13223 15112 16674 19056 22232 22668 25408 26446 30224 33348 38112 39669 44464 45336 50816 52892 60448 66696 76224 79338 88928 90672 101632 105784 120896 133392 152448 158676 177856 181344 211568 241792 266784 304896 317352 355712 362688 423136 483584 533568 634704 711424 725376 749933 846272 1067136 1269408 1450752 1499866 1692544 2134272 2249799 2538816 2999732 3385088 4499598 5077632 5249531 5999464 8999196 10155264 10499062 11998928 15748593 17998392 20998124 23997856 31497186 35996784 41996248 47995712 62994372 71993568 83992496 95991424 125988744 143987136 167984992 191982848 251977488 287974272 335969984 503954976 575948544 671939968 1007909952 1343879936 2015819904 4031639808