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42840448 = 277137349
BaseRepresentation
bin1010001101101…
…1000110000000
32222121112001021
42203123012000
541431343243
64130115224
71030065160
oct243330600
988545037
1042840448
1122200732
121241bb14
138b4c6a1
1459925a0
153b636ed
hex28db180

42840448 has 64 divisors (see below), whose sum is σ = 98532000. Its totient is φ = 18173952.

The previous prime is 42840443. The next prime is 42840491. The reversal of 42840448 is 84404824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42840443) 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, 122578 + ... + 122926.

Almost surely, 242840448 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 42840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49266000).

42840448 is an abundant number, since it is smaller than the sum of its proper divisors (55691552).

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

42840448 is a wasteful number, since it uses less digits than its factorization.

42840448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 42840448 is about 6545.2614921025. The cubic root of 42840448 is about 349.9059556851.

The spelling of 42840448 in words is "forty-two million, eight hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 274 349 448 548 698 896 959 1096 1396 1918 2192 2443 2792 3836 4384 4886 5584 7672 8768 9772 11168 15344 17536 19544 22336 30688 39088 44672 47813 61376 78176 95626 122752 156352 191252 312704 334691 382504 669382 765008 1338764 1530016 2677528 3060032 5355056 6120064 10710112 21420224 42840448