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42808824 = 233519261
BaseRepresentation
bin1010001101001…
…1010111111000
32222112220200000
42203103113320
541424340244
64125313000
71026604032
oct243232770
988486600
1042808824
11221899a3
1212405760
138b3b186
145984c52
153b59169
hex28d35f8

42808824 has 144 divisors (see below), whose sum is σ = 128976120. Its totient is φ = 13296960.

The previous prime is 42808823. The next prime is 42808841. The reversal of 42808824 is 42880824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42808823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 701754 + ... + 701814.

Almost surely, 242808824 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 42808824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64488060).

42808824 is an abundant number, since it is smaller than the sum of its proper divisors (86167296).

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

42808824 is a wasteful number, since it uses less digits than its factorization.

42808824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42808824 is about 6542.8452526405. The cubic root of 42808824 is about 349.8198365280.

The spelling of 42808824 in words is "forty-two million, eight hundred eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 61 72 76 81 108 114 122 152 162 171 183 216 228 243 244 324 342 361 366 456 486 488 513 549 648 684 722 732 972 1026 1083 1098 1159 1368 1444 1464 1539 1647 1944 2052 2166 2196 2318 2888 3078 3249 3294 3477 4104 4332 4392 4617 4636 4941 6156 6498 6588 6954 8664 9234 9272 9747 9882 10431 12312 12996 13176 13908 14823 18468 19494 19764 20862 22021 25992 27816 29241 29646 31293 36936 38988 39528 41724 44042 58482 59292 62586 66063 77976 83448 87723 88084 93879 116964 118584 125172 132126 175446 176168 187758 198189 233928 250344 264252 281637 350892 375516 396378 528504 563274 594567 701784 751032 792756 1126548 1189134 1585512 1783701 2253096 2378268 3567402 4756536 5351103 7134804 10702206 14269608 21404412 42808824