Search a number
-
+
198521648 = 241317232441
BaseRepresentation
bin10111101010100…
…11001100110000
3111211112221111122
423311103030300
5401310143043
631411001412
74630256213
oct1365231460
9454487448
10198521648
11a2073286
1256599268
133218a440
141c51977a
1512666368
hexbd53330

198521648 has 80 divisors (see below), whose sum is σ = 457845696. Its totient is φ = 82452480.

The previous prime is 198521629. The next prime is 198521651. The reversal of 198521648 is 846125891.

198521648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 198521599 and 198521608.

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, 80108 + ... + 82548.

Almost surely, 2198521648 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 198521648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228922848).

198521648 is an abundant number, since it is smaller than the sum of its proper divisors (259324048).

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

198521648 is a wasteful number, since it uses less digits than its factorization.

198521648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2496 counting only the distinct ones).

The product of its digits is 138240, while the sum is 44.

The square root of 198521648 is about 14089.7710414329. The cubic root of 198521648 is about 583.3590735490.

The spelling of 198521648 in words is "one hundred ninety-eight million, five hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 92 104 136 184 208 221 272 299 368 391 442 598 782 884 1196 1564 1768 2392 2441 3128 3536 4784 4882 5083 6256 9764 10166 19528 20332 31733 39056 40664 41497 56143 63466 81328 82994 112286 126932 165988 224572 253864 331976 449144 507728 539461 663952 729859 898288 954431 1078922 1459718 1908862 2157844 2919436 3817724 4315688 5838872 7635448 8631376 11677744 12407603 15270896 24815206 49630412 99260824 198521648