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42845264 = 2471183419
BaseRepresentation
bin1010001101110…
…0010001010000
32222121202122122
42203130101100
541432022024
64130153412
71030115210
oct243342120
988552578
1042845264
1122204310
1212422868
138b51937
145994240
153b64d5e
hex28dc450

42845264 has 80 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 16452480.

The previous prime is 42845249. The next prime is 42845281. The reversal of 42845264 is 46254824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102047 + ... + 102465.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 242845264 is an apocalyptic number.

42845264 is a gapful number since it is divisible by the number (44) 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 42845264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

42845264 is an abundant number, since it is smaller than the sum of its proper divisors (62148016).

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

42845264 is a wasteful number, since it uses less digits than its factorization.

42845264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 61440, while the sum is 35.

The square root of 42845264 is about 6545.6293815034. The cubic root of 42845264 is about 349.9190670010.

The spelling of 42845264 in words is "forty-two million, eight hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 83 88 112 154 166 176 308 332 419 581 616 664 838 913 1162 1232 1328 1676 1826 2324 2933 3352 3652 4609 4648 5866 6391 6704 7304 9218 9296 11732 12782 14608 18436 23464 25564 32263 34777 36872 46928 51128 64526 69554 73744 102256 129052 139108 243439 258104 278216 382547 486878 516208 556432 765094 973756 1530188 1947512 2677829 3060376 3895024 5355658 6120752 10711316 21422632 42845264