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4050434432 = 27114797631
BaseRepresentation
bin1111000101101100…
…1011100110000000
3101110021121101111002
43301123023212000
531243402400212
61505530511132
7202242060512
oct36133134600
911407541432
104050434432
111799401380
129505954a8
134c71cc785
142a5d21bb2
1518a8d8ac2
hexf16cb980

4050434432 has 128 divisors (see below), whose sum is σ = 9097159680. Its totient is φ = 1780531200.

The previous prime is 4050434417. The next prime is 4050434447. The reversal of 4050434432 is 2344340504.

It is an interprime number because it is at equal distance from previous prime (4050434417) and next prime (4050434447).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4050434395 and 4050434404.

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, 6418757 + ... + 6419387.

It is an arithmetic number, because the mean of its divisors is an integer number (71071560).

Almost surely, 24050434432 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 4050434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548579840).

4050434432 is an abundant number, since it is smaller than the sum of its proper divisors (5046725248).

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

4050434432 is a wasteful number, since it uses less digits than its factorization.

4050434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The square root of 4050434432 is about 63643.0234354088. The cubic root of 4050434432 is about 1594.0448459198.

Adding to 4050434432 its reverse (2344340504), we get a palindrome (6394774936).

The spelling of 4050434432 in words is "four billion, fifty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 97 128 176 188 194 352 376 388 517 631 704 752 776 1034 1067 1262 1408 1504 1552 2068 2134 2524 3008 3104 4136 4268 4559 5048 6016 6208 6941 8272 8536 9118 10096 12416 13882 16544 17072 18236 20192 27764 29657 33088 34144 36472 40384 50149 55528 59314 61207 66176 68288 72944 80768 100298 111056 118628 122414 136576 145888 200596 222112 237256 244828 291776 326227 401192 444224 474512 489656 583552 652454 673277 802384 888448 949024 979312 1304908 1346554 1604768 1898048 1958624 2609816 2693108 2876729 3209536 3796096 3917248 5219632 5386216 5753458 6419072 7834496 10439264 10772432 11506916 20878528 21544864 23013832 31644019 41757056 43089728 46027664 63288038 86179456 92055328 126576076 184110656 253152152 368221312 506304304 1012608608 2025217216 4050434432