Search a number
-
+
198447872 = 287374173
BaseRepresentation
bin10111101010000…
…01001100000000
3111211102012022012
423311001030000
5401300312442
631405232052
74626531140
oct1365011400
9454365265
10198447872
11a2022907
1256562628
133216299c
141c4da920
151264e582
hexbd41300

198447872 has 144 divisors (see below), whose sum is σ = 482809152. Its totient is φ = 79626240.

The previous prime is 198447863. The next prime is 198447877. The reversal of 198447872 is 278744891.

It is a super-3 number, since 3×1984478723 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 198447872.

It is not an unprimeable number, because it can be changed into a prime (198447877) 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, 2718428 + ... + 2718500.

Almost surely, 2198447872 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 198447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241404576).

198447872 is an abundant number, since it is smaller than the sum of its proper divisors (284361280).

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

198447872 is an equidigital number, since it uses as much as digits as its factorization.

198447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its digits is 903168, while the sum is 50.

The square root of 198447872 is about 14087.1527286390. The cubic root of 198447872 is about 583.2868006056.

The spelling of 198447872 in words is "one hundred ninety-eight million, four hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 41 56 64 73 74 82 112 128 146 148 164 224 256 259 287 292 296 328 448 511 518 574 584 592 656 896 1022 1036 1148 1168 1184 1312 1517 1792 2044 2072 2296 2336 2368 2624 2701 2993 3034 4088 4144 4592 4672 4736 5248 5402 5986 6068 8176 8288 9184 9344 9472 10496 10619 10804 11972 12136 16352 16576 18368 18688 18907 20951 21238 21608 23944 24272 32704 33152 36736 37814 41902 42476 43216 47888 48544 65408 66304 73472 75628 83804 84952 86432 95776 97088 110741 130816 151256 167608 169904 172864 191552 194176 221482 302512 335216 339808 345728 383104 388352 442964 605024 670432 679616 691456 766208 775187 885928 1210048 1340864 1359232 1550374 1771856 2420096 2681728 2718464 3100748 3543712 4840192 5363456 6201496 7087424 12402992 14174848 24805984 28349696 49611968 99223936 198447872