Search a number
-
+
3025890336 = 253722832273
BaseRepresentation
bin1011010001011011…
…0110110000100000
321210212202011012110
42310112312300200
522144111442321
61220131155320
7134661433500
oct26426666040
97725664173
103025890336
111313044217
12705445b40
13392b7aa71
14209c25a00
1512a9aa176
hexb45b6c20

3025890336 has 144 divisors (see below), whose sum is σ = 9276501024. Its totient is φ = 861106176.

The previous prime is 3025890317. The next prime is 3025890341. The reversal of 3025890336 is 6330985203.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3025890294 and 3025890303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330096 + ... + 1332368.

It is an arithmetic number, because the mean of its divisors is an integer number (64420146).

Almost surely, 23025890336 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 3025890336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638250512).

3025890336 is an abundant number, since it is smaller than the sum of its proper divisors (6250610688).

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

3025890336 is a wasteful number, since it uses less digits than its factorization.

3025890336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3025890336 is about 55008.0933681581. The cubic root of 3025890336 is about 1446.3866170822.

The spelling of 3025890336 in words is "three billion, twenty-five million, eight hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 283 294 336 392 566 588 672 784 849 1132 1176 1568 1698 1981 2264 2273 2352 3396 3962 4528 4546 4704 5943 6792 6819 7924 9056 9092 11886 13584 13638 13867 15848 15911 18184 23772 27168 27276 27734 31696 31822 36368 41601 47544 47733 54552 55468 63392 63644 72736 83202 95088 95466 109104 110936 111377 127288 166404 190176 190932 218208 221872 222754 254576 332808 334131 381864 443744 445508 509152 643259 665616 668262 763728 891016 1286518 1331232 1336524 1527456 1782032 1929777 2573036 2673048 3564064 3859554 4502813 5146072 5346096 7719108 9005626 10292144 10692192 13508439 15438216 18011252 20584288 27016878 30876432 31519691 36022504 54033756 61752864 63039382 72045008 94559073 108067512 126078764 144090016 189118146 216135024 252157528 378236292 432270048 504315056 756472584 1008630112 1512945168 3025890336