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42945280 = 28574793
BaseRepresentation
bin1010001111010…
…0101100000000
32222210211211221
42203310230000
541443222110
64132244424
71031012620
oct243645400
988724757
1042945280
1122272474
1212470714
138b88311
1459bc880
153b847da
hex28f4b00

42945280 has 72 divisors (see below), whose sum is σ = 117587232. Its totient is φ = 14721024.

The previous prime is 42945277. The next prime is 42945289. The reversal of 42945280 is 8254924.

It is not an unprimeable number, because it can be changed into a prime (42945289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6564 + ... + 11356.

It is an arithmetic number, because the mean of its divisors is an integer number (1633156).

Almost surely, 242945280 is an apocalyptic number.

42945280 is a gapful number since it is divisible by the number (40) 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 42945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58793616).

42945280 is an abundant number, since it is smaller than the sum of its proper divisors (74641952).

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

42945280 is an equidigital number, since it uses as much as digits as its factorization.

42945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 42945280 is about 6553.2648351795. The cubic root of 42945280 is about 350.1911336988.

The spelling of 42945280 in words is "forty-two million, nine hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 4793 8960 9586 19172 23965 33551 38344 47930 67102 76688 95860 134204 153376 167755 191720 268408 306752 335510 383440 536816 613504 671020 766880 1073632 1227008 1342040 1533760 2147264 2684080 3067520 4294528 5368160 6135040 8589056 10736320 21472640 42945280