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198057728 = 2811611153
BaseRepresentation
bin10111100111000…
…01111100000000
3111210200101010102
423303201330000
5401200321403
631353021532
74623314531
oct1363417400
9453611112
10198057728
11a1886780
12563b48a8
133205722b
141c438688
15125c3b88
hexbce1f00

198057728 has 72 divisors (see below), whose sum is σ = 438732336. Its totient is φ = 88473600.

The previous prime is 198057709. The next prime is 198057731. The reversal of 198057728 is 827750891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171200 + ... + 172352.

Almost surely, 2198057728 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 198057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219366168).

198057728 is an abundant number, since it is smaller than the sum of its proper divisors (240674608).

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

198057728 is a wasteful number, since it uses less digits than its factorization.

198057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 47.

The square root of 198057728 is about 14073.2984051359. The cubic root of 198057728 is about 582.9043069796.

The spelling of 198057728 in words is "one hundred ninety-eight million, fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 256 352 488 671 704 976 1153 1342 1408 1952 2306 2684 2816 3904 4612 5368 7808 9224 10736 12683 15616 18448 21472 25366 36896 42944 50732 70333 73792 85888 101464 140666 147584 171776 202928 281332 295168 405856 562664 773663 811712 1125328 1547326 1623424 2250656 3094652 3246848 4501312 6189304 9002624 12378608 18005248 24757216 49514432 99028864 198057728