Search a number
-
+
2490883860 = 22351711321611
BaseRepresentation
bin1001010001110111…
…1101111100010100
320102121001000021210
42110131331330110
520100131240420
61051100141420
7115504110033
oct22435757424
96377030253
102490883860
111069047a03
12596237870
13309089c9a
14198b5a71a
15e8a299e0
hex9477df14

2490883860 has 96 divisors (see below), whose sum is σ = 7450434432. Its totient is φ = 619601920.

The previous prime is 2490883853. The next prime is 2490883861. The reversal of 2490883860 is 683880942.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490883861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104455 + ... + 126065.

It is an arithmetic number, because the mean of its divisors is an integer number (77608692).

Almost surely, 22490883860 is an apocalyptic number.

2490883860 is a gapful number since it is divisible by the number (20) 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 2490883860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725217216).

2490883860 is an abundant number, since it is smaller than the sum of its proper divisors (4959550572).

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

2490883860 is a wasteful number, since it uses less digits than its factorization.

2490883860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21753 (or 21751 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2490883860 is about 49908.7553441277. The cubic root of 2490883860 is about 1355.5571316782.

The spelling of 2490883860 in words is "two billion, four hundred ninety million, eight hundred eighty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 113 170 204 226 255 339 340 452 510 565 678 1020 1130 1356 1695 1921 2260 3390 3842 5763 6780 7684 9605 11526 19210 21611 23052 28815 38420 43222 57630 64833 86444 108055 115260 129666 216110 259332 324165 367387 432220 648330 734774 1102161 1296660 1469548 1836935 2204322 2442043 3673870 4408644 4884086 5510805 7326129 7347740 9768172 11021610 12210215 14652258 22043220 24420430 29304516 36630645 41514731 48840860 73261290 83029462 124544193 146522580 166058924 207573655 249088386 415147310 498176772 622720965 830294620 1245441930 2490883860