Search a number
-
+
4292096320 = 26531735927
BaseRepresentation
bin1111111111010100…
…0011000101000000
3102002010100002021101
43333311003011000
532242234040240
61545522304144
7211235134231
oct37765030500
912063302241
104292096320
11190285a546
129b94b8054
135352b2b85
142ca06b088
151a1c2239a
hexffd43140

4292096320 has 112 divisors (see below), whose sum is σ = 10696578048. Its totient is φ = 1638420480.

The previous prime is 4292096293. The next prime is 4292096321. The reversal of 4292096320 is 236902924.

4292096320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4292096320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292096321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721197 + ... + 727123.

Almost surely, 24292096320 is an apocalyptic number.

4292096320 is a gapful number since it is divisible by the number (40) 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 4292096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348289024).

4292096320 is an abundant number, since it is smaller than the sum of its proper divisors (6404481728).

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

4292096320 is a wasteful number, since it uses less digits than its factorization.

4292096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 4292096320 is about 65514.0925297756. The cubic root of 4292096320 is about 1625.1364076419.

The spelling of 4292096320 in words is "four billion, two hundred ninety-two million, ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 73 80 124 146 155 160 248 292 310 320 365 496 584 620 730 992 1168 1240 1460 1984 2263 2336 2480 2920 4526 4672 4960 5840 5927 9052 9920 11315 11680 11854 18104 22630 23360 23708 29635 36208 45260 47416 59270 72416 90520 94832 118540 144832 181040 183737 189664 237080 362080 367474 379328 432671 474160 724160 734948 865342 918685 948320 1469896 1730684 1837370 1896640 2163355 2939792 3461368 3674740 4326710 5879584 6922736 7349480 8653420 11759168 13412801 13845472 14698960 17306840 26825602 27690944 29397920 34613680 53651204 58795840 67064005 69227360 107302408 134128010 138454720 214604816 268256020 429209632 536512040 858419264 1073024080 2146048160 4292096320