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63190428 = 223717219137
BaseRepresentation
bin1111000100001…
…1010110011100
311101220101222020
43301003112130
5112134043203
610134220140
71365052440
oct361032634
9141811866
1063190428
113273a9a4
12191b4650
13101261b2
14856c820
155833153
hex3c4359c

63190428 has 144 divisors (see below), whose sum is σ = 189799680. Its totient is φ = 15980544.

The previous prime is 63190399. The next prime is 63190433. The reversal of 63190428 is 82409136.

63190428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 461176 + ... + 461312.

Almost surely, 263190428 is an apocalyptic number.

63190428 is a gapful number since it is divisible by the number (68) 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 63190428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94899840).

63190428 is an abundant number, since it is smaller than the sum of its proper divisors (126609252).

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

63190428 is a wasteful number, since it uses less digits than its factorization.

63190428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 63190428 is about 7949.2407184586. The cubic root of 63190428 is about 398.3062296449.

The spelling of 63190428 in words is "sixty-three million, one hundred ninety thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 137 204 228 238 266 274 289 323 357 399 411 476 532 548 578 646 714 798 822 867 959 969 1156 1292 1428 1596 1644 1734 1918 1938 2023 2261 2329 2603 2877 3468 3836 3876 4046 4522 4658 5206 5491 5754 6069 6783 6987 7809 8092 9044 9316 10412 10982 11508 12138 13566 13974 15618 16303 16473 18221 21964 24276 27132 27948 31236 32606 32946 36442 38437 39593 44251 48909 54663 65212 65892 72884 76874 79186 88502 97818 109326 115311 118779 132753 153748 158372 177004 195636 218652 230622 237558 265506 277151 309757 461244 475116 531012 554302 619514 752267 831453 929271 1108604 1239028 1504534 1662906 1858542 2256801 3009068 3325812 3717084 4513602 5265869 9027204 10531738 15797607 21063476 31595214 63190428