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4080959808 = 263291494919
BaseRepresentation
bin1111001100111110…
…1000000101000000
3101112102001020102120
43303033220011000
531324211203213
61512541044240
7203062405002
oct36317500500
911472036376
104080959808
111804660562
1295a856680
13500629923
142a9dca372
1518d418423
hexf33e8140

4080959808 has 112 divisors (see below), whose sum is σ = 11247120000. Its totient is φ = 1304332288.

The previous prime is 4080959791. The next prime is 4080959863. The reversal of 4080959808 is 8089590804.

It is a super-2 number, since 2×40809598082 = 33308465909022793728, which contains 22 as substring.

It is a congruent number.

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, 827173 + ... + 832091.

Almost surely, 24080959808 is an apocalyptic number.

4080959808 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 4080959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623560000).

4080959808 is an abundant number, since it is smaller than the sum of its proper divisors (7166160192).

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

4080959808 is a wasteful number, since it uses less digits than its factorization.

4080959808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 4080959808 is about 63882.3904374281. The cubic root of 4080959808 is about 1598.0392397853.

The spelling of 4080959808 in words is "four billion, eighty million, nine hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 149 174 192 232 298 348 447 464 596 696 894 928 1192 1392 1788 1856 2384 2784 3576 4321 4768 4919 5568 7152 8642 9536 9838 12963 14304 14757 17284 19676 25926 28608 29514 34568 39352 51852 59028 69136 78704 103704 118056 138272 142651 157408 207408 236112 276544 285302 314816 414816 427953 472224 570604 732931 829632 855906 944448 1141208 1465862 1711812 2198793 2282416 2931724 3423624 4397586 4564832 5863448 6847248 8795172 9129664 11726896 13694496 17590344 21254999 23453792 27388992 35180688 42509998 46907584 63764997 70361376 85019996 127529994 140722752 170039992 255059988 340079984 510119976 680159968 1020239952 1360319936 2040479904 4080959808