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45020196 = 223213196183
BaseRepresentation
bin1010101110111…
…1010000100100
310010201021002200
42223233100210
543011121241
64244534500
71054444134
oct253572044
9103637080
1045020196
112345a381
12130b1430
139433890
145d9cac4
153e444b6
hex2aef424

45020196 has 144 divisors (see below), whose sum is σ = 132699840. Its totient is φ = 12752640.

The previous prime is 45020189. The next prime is 45020203. The reversal of 45020196 is 69102054.

45020196 is a `hidden beast` number, since 450 + 20 + 196 = 666.

45020196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45020189) and next prime (45020203).

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 47 ways as a sum of consecutive naturals, for example, 542371 + ... + 542453.

Almost surely, 245020196 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 45020196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349920).

45020196 is an abundant number, since it is smaller than the sum of its proper divisors (87679644).

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

45020196 is a wasteful number, since it uses less digits than its factorization.

45020196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45020196 is about 6709.7090846027. The cubic root of 45020196 is about 355.7425336144.

The spelling of 45020196 in words is "forty-five million, twenty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 61 76 78 83 114 117 122 156 166 171 183 228 234 244 247 249 332 342 366 468 494 498 549 684 732 741 747 793 988 996 1079 1098 1159 1482 1494 1577 1586 2158 2196 2223 2318 2379 2964 2988 3154 3172 3237 3477 4316 4446 4636 4731 4758 5063 6308 6474 6954 7137 8892 9462 9516 9711 10126 10431 12948 13908 14193 14274 15067 15189 18924 19422 20252 20501 20862 28386 28548 30134 30378 38844 41002 41724 45201 45567 56772 60268 60756 61503 65819 82004 90402 91134 96197 123006 131638 135603 180804 182268 184509 192394 197457 246012 263276 271206 288591 369018 384788 394914 542412 577182 592371 738036 789828 865773 1154364 1184742 1250561 1731546 2369484 2501122 3463092 3751683 5002244 7503366 11255049 15006732 22510098 45020196