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42844512 = 2534397107
BaseRepresentation
bin1010001101110…
…0000101100000
32222121201121210
42203130011200
541432011022
64130150120
71030113054
oct243340540
988551553
1042844512
1122203797
1212422340
138b514a9
145993c64
153b64a0c
hex28dc160

42844512 has 96 divisors (see below), whose sum is σ = 117355392. Its totient is φ = 13676544.

The previous prime is 42844499. The next prime is 42844519. The reversal of 42844512 is 21544824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 42844512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42844519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400363 + ... + 400469.

It is an arithmetic number, because the mean of its divisors is an integer number (1222452).

Almost surely, 242844512 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 42844512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58677696).

42844512 is an abundant number, since it is smaller than the sum of its proper divisors (74510880).

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

42844512 is a wasteful number, since it uses less digits than its factorization.

42844512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 42844512 is about 6545.5719383412. The cubic root of 42844512 is about 349.9170197839.

The spelling of 42844512 in words is "forty-two million, eight hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 97 107 129 172 194 214 258 291 321 344 388 428 516 582 642 688 776 856 1032 1164 1284 1376 1552 1712 2064 2328 2568 3104 3424 4128 4171 4601 4656 5136 8342 9202 9312 10272 10379 12513 13803 16684 18404 20758 25026 27606 31137 33368 36808 41516 50052 55212 62274 66736 73616 83032 100104 110424 124548 133472 147232 166064 200208 220848 249096 332128 400416 441696 446297 498192 892594 996384 1338891 1785188 2677782 3570376 5355564 7140752 10711128 14281504 21422256 42844512