Search a number
-
+
4025160096 = 253299711489
BaseRepresentation
bin1110111111101011…
…0001000110100000
3101101112001022121120
43233322301012200
531220420110341
61503225052240
7201514203426
oct35772610640
911345038546
104025160096
1117861093a1
12944027080
134c1bc0749
142a2823116
15188595066
hexefeb11a0

4025160096 has 96 divisors (see below), whose sum is σ = 10948996800. Its totient is φ = 1293250560.

The previous prime is 4025160059. The next prime is 4025160109. The reversal of 4025160096 is 6900615204.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2702520 + ... + 2704008.

It is an arithmetic number, because the mean of its divisors is an integer number (114052050).

Almost surely, 24025160096 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 4025160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474498400).

4025160096 is an abundant number, since it is smaller than the sum of its proper divisors (6923836704).

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

4025160096 is a wasteful number, since it uses less digits than its factorization.

4025160096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4025160096 is about 63444.1494229373. The cubic root of 4025160096 is about 1590.7223615373.

The spelling of 4025160096 in words is "four billion, twenty-five million, one hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 971 1392 1489 1942 2784 2913 2978 3884 4467 5826 5956 7768 8934 11652 11912 15536 17868 23304 23824 28159 31072 35736 43181 46608 47648 56318 71472 84477 86362 93216 112636 129543 142944 168954 172724 225272 259086 337908 345448 450544 518172 675816 690896 901088 1036344 1351632 1381792 1445819 2072688 2703264 2891638 4145376 4337457 5783276 8674914 11566552 17349828 23133104 34699656 41928751 46266208 69399312 83857502 125786253 138798624 167715004 251572506 335430008 503145012 670860016 1006290024 1341720032 2012580048 4025160096