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42304248 = 233373571
BaseRepresentation
bin1010000101100…
…0001011111000
32221121021112000
42201120023320
541312213443
64110421000
71022403000
oct241301370
987537460
1042304248
1121974898
1212201760
1389c25cc
145893000
153aa98d3
hex28582f8

42304248 has 128 divisors (see below), whose sum is σ = 137280000. Its totient is φ = 12065760.

The previous prime is 42304237. The next prime is 42304253. The reversal of 42304248 is 84240324.

It is a happy number.

42304248 is a `hidden beast` number, since 4 + 230 + 424 + 8 = 666.

It is a super-3 number, since 3×423042483 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 73803 + ... + 74373.

It is an arithmetic number, because the mean of its divisors is an integer number (1072500).

Almost surely, 242304248 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 42304248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640000).

42304248 is an abundant number, since it is smaller than the sum of its proper divisors (94975752).

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

42304248 is a wasteful number, since it uses less digits than its factorization.

42304248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42304248 is about 6504.1715844526. The cubic root of 42304248 is about 348.4399904358.

The spelling of 42304248 in words is "forty-two million, three hundred four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 571 588 686 756 882 1029 1142 1176 1323 1372 1512 1713 1764 2058 2284 2646 2744 3087 3426 3528 3997 4116 4568 5139 5292 6174 6852 7994 8232 9261 10278 10584 11991 12348 13704 15417 15988 18522 20556 23982 24696 27979 30834 31976 35973 37044 41112 47964 55958 61668 71946 74088 83937 95928 107919 111916 123336 143892 167874 195853 215838 223832 251811 287784 335748 391706 431676 503622 587559 671496 755433 783412 863352 1007244 1175118 1510866 1566824 1762677 2014488 2350236 3021732 3525354 4700472 5288031 6043464 7050708 10576062 14101416 21152124 42304248