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798541248 = 2635397809
BaseRepresentation
bin101111100110001…
…100010111000000
32001122121002122210
4233212030113000
53113411304443
6211123302120
725534326411
oct5746142700
92048532583
10798541248
1137a83494a
121a351a940
13c9591c1b
14780a9808
154a189c33
hex2f98c5c0

798541248 has 112 divisors (see below), whose sum is σ = 2177552160. Its totient is φ = 258146304.

The previous prime is 798541231. The next prime is 798541259. The reversal of 798541248 is 842145897.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 798541197 and 798541206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986668 + ... + 987476.

It is an arithmetic number, because the mean of its divisors is an integer number (19442430).

Almost surely, 2798541248 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 798541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088776080).

798541248 is an abundant number, since it is smaller than the sum of its proper divisors (1379010912).

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

798541248 is a wasteful number, since it uses less digits than its factorization.

798541248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 798541248 is about 28258.4721455354. The cubic root of 798541248 is about 927.7531795036.

The spelling of 798541248 in words is "seven hundred ninety-eight million, five hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 97 106 159 192 194 212 291 318 388 424 582 636 776 809 848 1164 1272 1552 1618 1696 2328 2427 2544 3104 3236 3392 4656 4854 5088 5141 6208 6472 9312 9708 10176 10282 12944 15423 18624 19416 20564 25888 30846 38832 41128 42877 51776 61692 77664 78473 82256 85754 123384 128631 155328 156946 164512 171508 235419 246768 257262 313892 329024 343016 470838 493536 514524 627784 686032 941676 987072 1029048 1255568 1372064 1883352 2058096 2511136 2744128 3766704 4116192 4159069 5022272 7533408 8232384 8318138 12477207 15066816 16636276 24954414 33272552 49908828 66545104 99817656 133090208 199635312 266180416 399270624 798541248