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4044485616 = 2431997131349
BaseRepresentation
bin1111000100010001…
…1111001111110000
3101102212102011020120
43301010133033300
531240342014431
61505155210240
7202140363153
oct36104371760
911385364216
104044485616
1117960089a6
1294a5a6980
134c5bc8b72
142a5213c9a
1518a111196
hexf111f3f0

4044485616 has 160 divisors (see below), whose sum is σ = 11228448000. Its totient is φ = 1250795520.

The previous prime is 4044485591. The next prime is 4044485629. The reversal of 4044485616 is 6165844404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11588610 + ... + 11588958.

It is an arithmetic number, because the mean of its divisors is an integer number (70177800).

Almost surely, 24044485616 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 4044485616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614224000).

4044485616 is an abundant number, since it is smaller than the sum of its proper divisors (7183962384).

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

4044485616 is a wasteful number, since it uses less digits than its factorization.

4044485616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 4044485616 is about 63596.2704566864. The cubic root of 4044485616 is about 1593.2640798239.

The spelling of 4044485616 in words is "four billion, forty-four million, four hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 131 152 194 228 262 291 304 349 388 393 456 524 582 698 776 786 912 1047 1048 1164 1396 1552 1572 1843 2094 2096 2328 2489 2792 3144 3686 4188 4656 4978 5529 5584 6288 6631 7372 7467 8376 9956 11058 12707 13262 14744 14934 16752 19893 19912 22116 25414 26524 29488 29868 33853 38121 39786 39824 44232 45719 50828 53048 59736 67706 76242 79572 88464 91438 101559 101656 106096 119472 135412 137157 152484 159144 182876 203118 203312 241433 270824 274314 304968 318288 365752 406236 482866 541648 548628 609936 643207 724299 731504 812472 868661 965732 1097256 1286414 1448598 1624944 1737322 1929621 1931464 2194512 2572828 2605983 2897196 3474644 3859242 3862928 4434743 5145656 5211966 5794392 6949288 7718484 8869486 10291312 10423932 11588784 13304229 13898576 15436968 17738972 20847864 26608458 30873936 35477944 41695728 53216916 70955888 84260117 106433832 168520234 212867664 252780351 337040468 505560702 674080936 1011121404 1348161872 2022242808 4044485616