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56100198 = 23721121983
BaseRepresentation
bin1101011000000…
…0010101100110
310220120012000010
43112000111212
5103330201243
65322231050
71250562300
oct326002546
9126505003
1056100198
1129737a00
1216955486
13b812bab
147644970
154dd2433
hex3580566

56100198 has 144 divisors (see below), whose sum is σ = 152832960. Its totient is φ = 13638240.

The previous prime is 56100169. The next prime is 56100223. The reversal of 56100198 is 89100165.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 675865 + ... + 675947.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 256100198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56100198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76416480).

56100198 is an abundant number, since it is smaller than the sum of its proper divisors (96732762).

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

56100198 is a wasteful number, since it uses less digits than its factorization.

56100198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 56100198 is about 7490.0065420532. The cubic root of 56100198 is about 382.8142814067.

The spelling of 56100198 in words is "fifty-six million, one hundred thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 83 98 114 121 133 147 154 166 209 231 242 249 266 294 363 399 418 462 498 539 581 627 726 798 847 913 931 1078 1162 1254 1463 1577 1617 1694 1743 1826 1862 2299 2541 2739 2793 2926 3154 3234 3486 4067 4389 4598 4731 5082 5478 5586 5929 6391 6897 8134 8778 9462 10043 10241 11039 11858 12201 12782 13794 16093 17347 17787 19173 20086 20482 22078 24402 30129 30723 32186 33117 34694 35574 38346 44737 48279 52041 60258 61446 66234 70301 77273 89474 96558 104082 112651 121429 134211 140602 154546 190817 210903 225302 231819 242858 268422 337953 364287 381634 421806 463638 492107 572451 675906 728574 850003 984214 1144902 1335719 1476321 1700006 2550009 2671438 2952642 4007157 5100018 8014314 9350033 18700066 28050099 56100198