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3981816608 = 2571111231439
BaseRepresentation
bin1110110101010101…
…1011001100100000
3101021111111020112012
43231111123030200
531123321112413
61455040052052
7200446611530
oct35525331440
911244436465
103981816608
1117636a4830
12931604028
134b5c26103
1429ab7d4c0
151848827a8
hexed55b320

3981816608 has 96 divisors (see below), whose sum is σ = 9789050880. Its totient is φ = 1548898560.

The previous prime is 3981816593. The next prime is 3981816611. The reversal of 3981816608 is 8066181893.

It is a happy number.

3981816608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2766353 + ... + 2767791.

It is an arithmetic number, because the mean of its divisors is an integer number (101969280).

Almost surely, 23981816608 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 3981816608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894525440).

3981816608 is an abundant number, since it is smaller than the sum of its proper divisors (5807234272).

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

3981816608 is a wasteful number, since it uses less digits than its factorization.

3981816608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 3981816608 is about 63101.6371261475. The cubic root of 3981816608 is about 1584.9920366340.

The spelling of 3981816608 in words is "three billion, nine hundred eighty-one million, eight hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1123 1232 1439 2246 2464 2878 4492 5756 7861 8984 10073 11512 12353 15722 15829 17968 20146 23024 24706 31444 31658 35936 40292 46048 49412 62888 63316 80584 86471 98824 110803 125776 126632 161168 172942 197648 221606 251552 253264 322336 345884 395296 443212 506528 691768 886424 1383536 1615997 1772848 2767072 3231994 3545696 6463988 11311979 12927976 17775967 22623958 25855952 35551934 45247916 51711904 71103868 90495832 124431769 142207736 180991664 248863538 284415472 361983328 497727076 568830944 995454152 1990908304 3981816608