Search a number
-
+
398618896 = 24136189353
BaseRepresentation
bin10111110000100…
…111000100010000
31000210001221022211
4113300213010100
51304021301041
6103315441504
712610130134
oct2760470420
91023057284
10398618896
11195012305
12b15b6294
1364779a90
143ad253c4
1524ede481
hex17c27110

398618896 has 80 divisors (see below), whose sum is σ = 857288880. Its totient is φ = 178421760.

The previous prime is 398618893. The next prime is 398618897. The reversal of 398618896 is 698816893.

It can be written as a sum of positive squares in 8 ways, for example, as 169520400 + 229098496 = 13020^2 + 15136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 398618896.

It is not an unprimeable number, because it can be changed into a prime (398618893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129056 + ... + 1129408.

It is an arithmetic number, because the mean of its divisors is an integer number (10716111).

Almost surely, 2398618896 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 398618896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428644440).

398618896 is an abundant number, since it is smaller than the sum of its proper divisors (458669984).

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

398618896 is a wasteful number, since it uses less digits than its factorization.

398618896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 58.

The square root of 398618896 is about 19965.4425445568. The cubic root of 398618896 is about 735.9573167591.

The spelling of 398618896 in words is "three hundred ninety-eight million, six hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 61 89 104 122 178 208 244 353 356 488 706 712 793 976 1157 1412 1424 1586 2314 2824 3172 4589 4628 5429 5648 6344 9178 9256 10858 12688 18356 18512 21533 21716 31417 36712 43066 43432 62834 70577 73424 86132 86864 125668 141154 172264 251336 279929 282308 344528 408421 502672 559858 564616 816842 1119716 1129232 1633684 1916437 2239432 3267368 3832874 4478864 6534736 7665748 15331496 24913681 30662992 49827362 99654724 199309448 398618896