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4408242630 = 23511171941357
BaseRepresentation
bin1000001101100000…
…00111000111000110
3102101012212221001120
410012300013013012
533012002231010
62005231534410
7214145305221
oct40660070706
912335787046
104408242630
111962379a30
12a3038a406
1355338a9bc
142db6625b8
151ac015e70
hex106c071c6

4408242630 has 128 divisors (see below), whose sum is σ = 12863992320. Its totient is φ = 952842240.

The previous prime is 4408242623. The next prime is 4408242679. The reversal of 4408242630 is 362428044.

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

It is a junction number, because it is equal to n+sod(n) for n = 4408242591 and 4408242600.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 85912 + ... + 127268.

It is an arithmetic number, because the mean of its divisors is an integer number (100499940).

Almost surely, 24408242630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4408242630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431996160).

4408242630 is an abundant number, since it is smaller than the sum of its proper divisors (8455749690).

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

4408242630 is a wasteful number, since it uses less digits than its factorization.

4408242630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41414.

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4408242630 is about 66394.5978977206. The cubic root of 4408242630 is about 1639.6651395933.

The spelling of 4408242630 in words is "four billion, four hundred eight million, two hundred forty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 19 22 30 33 34 38 51 55 57 66 85 95 102 110 114 165 170 187 190 209 255 285 323 330 374 418 510 561 570 627 646 935 969 1045 1122 1254 1615 1870 1938 2090 2805 3135 3230 3553 4845 5610 6270 7106 9690 10659 17765 21318 35530 41357 53295 82714 106590 124071 206785 248142 413570 454927 620355 703069 785783 909854 1240710 1364781 1406138 1571566 2109207 2274635 2357349 2729562 3515345 3928915 4218414 4549270 4714698 6823905 7030690 7733759 7857830 8643613 10546035 11786745 13358311 13647810 15467518 17287226 21092070 23201277 23573490 25930839 26716622 38668795 40074933 43218065 46402554 51861678 66791555 77337590 80149866 86436130 116006385 129654195 133583110 146941421 200374665 232012770 259308390 293882842 400749330 440824263 734707105 881648526 1469414210 2204121315 4408242630