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198494976 = 2831961223
BaseRepresentation
bin10111101010011…
…00101100000000
3111211111120220210
423311030230000
5401303314401
631410234120
74630115361
oct1365145400
9454446823
10198494976
11a2055239
1256585940
133217b264
141c50db68
151265d4d6
hexbd4cb00

198494976 has 144 divisors (see below), whose sum is σ = 567741440. Its totient is φ = 61378560.

The previous prime is 198494971. The next prime is 198494993. The reversal of 198494976 is 679494891.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (198494971) 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, 890001 + ... + 890223.

Almost surely, 2198494976 is an apocalyptic number.

198494976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283870720).

198494976 is an abundant number, since it is smaller than the sum of its proper divisors (369246464).

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

198494976 is a wasteful number, since it uses less digits than its factorization.

198494976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 198494976 is about 14088.8245073888. The cubic root of 198494976 is about 583.3329470111.

The spelling of 198494976 in words is "one hundred ninety-eight million, four hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 223 228 244 256 304 366 384 446 456 488 608 669 732 768 892 912 976 1159 1216 1338 1464 1784 1824 1952 2318 2432 2676 2928 3477 3568 3648 3904 4237 4636 4864 5352 5856 6954 7136 7296 7808 8474 9272 10704 11712 12711 13603 13908 14272 14592 15616 16948 18544 21408 23424 25422 27206 27816 28544 33896 37088 40809 42816 46848 50844 54412 55632 57088 67792 74176 81618 85632 101688 108824 111264 135584 148352 163236 171264 203376 217648 222528 258457 271168 296704 326472 406752 435296 445056 516914 542336 652944 775371 813504 870592 890112 1033828 1084672 1305888 1550742 1627008 1741184 2067656 2611776 3101484 3254016 3482368 4135312 5223552 6202968 8270624 10447104 12405936 16541248 24811872 33082496 49623744 66164992 99247488 198494976