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4490683808 = 251331247239
BaseRepresentation
bin1000010111010101…
…00110010110100000
3102120222000101002112
410023222212112200
533144103340213
62021334534452
7216166116422
oct41352462640
912528011075
104490683808
1119a4968236
12a53b07428
13567494270
143085a2812
151b439cea8
hex10baa65a0

4490683808 has 144 divisors (see below), whose sum is σ = 10089515520. Its totient is φ = 1954874880.

The previous prime is 4490683789. The next prime is 4490683831. The reversal of 4490683808 is 8083860944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18789353 + ... + 18789591.

It is an arithmetic number, because the mean of its divisors is an integer number (70066080).

Almost surely, 24490683808 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 4490683808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044757760).

4490683808 is an abundant number, since it is smaller than the sum of its proper divisors (5598831712).

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

4490683808 is a wasteful number, since it uses less digits than its factorization.

4490683808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 4490683808 is about 67012.5645532239. The cubic root of 4490683808 is about 1649.8235266420.

The spelling of 4490683808 in words is "four billion, four hundred ninety million, six hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 31 32 47 52 62 94 104 124 188 208 239 248 376 403 416 478 496 611 752 806 956 961 992 1222 1457 1504 1612 1912 1922 2444 2914 3107 3224 3824 3844 4888 5828 6214 6448 7409 7648 7688 9776 11233 11656 12428 12493 12896 14818 15376 18941 19552 22466 23312 24856 24986 29636 30752 37882 44932 45167 46624 49712 49972 59272 75764 89864 90334 96317 99424 99944 118544 146029 151528 179728 180668 192634 199888 229679 237088 292058 303056 348223 359456 361336 385268 399776 459358 584116 587171 606112 696446 722672 770536 918716 1168232 1174342 1392892 1445344 1541072 1837432 2336464 2348684 2785784 2985827 3082144 3674864 4526899 4672928 4697368 5571568 5971654 7349728 9053798 9394736 10794913 11143136 11943308 18107596 18789472 21589826 23886616 36215192 43179652 47773232 72430384 86359304 95546464 140333869 144860768 172718608 280667738 345437216 561335476 1122670952 2245341904 4490683808