Search a number
-
+
2625036352 = 26193183839
BaseRepresentation
bin1001110001110110…
…1110000001000000
320202221110122220121
42130131232001000
520334002130402
61112251350024
7122023304131
oct23435560100
96687418817
102625036352
111127845734
12613152314
1332aaca863
141ac8bbc88
151056c8837
hex9c76e040

2625036352 has 112 divisors (see below), whose sum is σ = 5735116800. Its totient is φ = 1187412480.

The previous prime is 2625036343. The next prime is 2625036431. The reversal of 2625036352 is 2536305262.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3128349 + ... + 3129187.

It is an arithmetic number, because the mean of its divisors is an integer number (51206400).

Almost surely, 22625036352 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 2625036352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867558400).

2625036352 is an abundant number, since it is smaller than the sum of its proper divisors (3110080448).

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

2625036352 is a wasteful number, since it uses less digits than its factorization.

2625036352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 2625036352 is about 51235.1085877643. The cubic root of 2625036352 is about 1379.4684559333.

The spelling of 2625036352 in words is "two billion, six hundred twenty-five million, thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 83 124 152 166 248 304 332 496 589 608 664 839 992 1178 1216 1328 1577 1678 1984 2356 2573 2656 3154 3356 4712 5146 5312 6308 6712 9424 10292 12616 13424 15941 18848 20584 25232 26009 26848 31882 37696 41168 48887 50464 52018 53696 63764 69637 82336 97774 100928 104036 127528 139274 164672 195548 208072 255056 278548 391096 416144 494171 510112 557096 782192 832288 988342 1020224 1114192 1323103 1564384 1664576 1976684 2158747 2228384 2646206 3128768 3953368 4317494 4456768 5292412 7906736 8634988 10584824 15813472 17269976 21169648 31626944 34539952 41016193 42339296 69079904 82032386 84678592 138159808 164064772 328129544 656259088 1312518176 2625036352