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5098968 = 2332767151
BaseRepresentation
bin10011011100110111011000
3100121001110200
4103130313120
52301131333
6301142200
761224540
oct23346730
910531420
105098968
112972a26
12185a960
131096b54
1496a320
156aac13
hex4dcdd8

5098968 has 96 divisors (see below), whose sum is σ = 16124160. Its totient is φ = 1425600.

The previous prime is 5098967. The next prime is 5098969. The reversal of 5098968 is 8698905.

5098968 is a `hidden beast` number, since 509 + 89 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (5098967) and next prime (5098969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5098967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33693 + ... + 33843.

It is an arithmetic number, because the mean of its divisors is an integer number (167960).

Almost surely, 25098968 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 5098968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062080).

5098968 is an abundant number, since it is smaller than the sum of its proper divisors (11025192).

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

5098968 is a wasteful number, since it uses less digits than its factorization.

5098968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5098968 is about 2258.0894579268. The cubic root of 5098968 is about 172.1184509480.

The spelling of 5098968 in words is "five million, ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 151 168 201 252 268 302 402 453 469 504 536 603 604 804 906 938 1057 1206 1208 1359 1407 1608 1812 1876 2114 2412 2718 2814 3171 3624 3752 4221 4228 4824 5436 5628 6342 8442 8456 9513 10117 10872 11256 12684 16884 19026 20234 25368 30351 33768 38052 40468 60702 70819 76104 80936 91053 121404 141638 182106 212457 242808 283276 364212 424914 566552 637371 728424 849828 1274742 1699656 2549484 5098968