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42844720 = 2451274217
BaseRepresentation
bin1010001101110…
…0001000110000
32222121201220111
42203130020300
541432012340
64130151104
71030113502
oct243341060
988551814
1042844720
1122203966
1212422494
138b51609
145993d72
153b64aea
hex28dc230

42844720 has 40 divisors (see below), whose sum is σ = 100422144. Its totient is φ = 16998912.

The previous prime is 42844717. The next prime is 42844721. The reversal of 42844720 is 2744824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42844721) 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, 8052 + ... + 12268.

Almost surely, 242844720 is an apocalyptic number.

42844720 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 42844720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50211072).

42844720 is an abundant number, since it is smaller than the sum of its proper divisors (57577424).

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

42844720 is a wasteful number, since it uses less digits than its factorization.

42844720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 42844720 is about 6545.5878269259. The cubic root of 42844720 is about 349.9175860378.

The spelling of 42844720 in words is "forty-two million, eight hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4217 5080 8434 10160 16868 21085 33736 42170 67472 84340 168680 337360 535559 1071118 2142236 2677795 4284472 5355590 8568944 10711180 21422360 42844720