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42654450 = 2352319173
BaseRepresentation
bin1010001010110…
…1101011110010
32222021001220110
42202231223302
541404420300
64122122150
71025361666
oct242555362
988231813
1042654450
1122093a13
1212350356
138ab5b27
1459448a6
153b28550
hex28adaf2

42654450 has 48 divisors (see below), whose sum is σ = 109207296. Its totient is φ = 11006400.

The previous prime is 42654413. The next prime is 42654461. The reversal of 42654450 is 5445624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64 + ... + 9236.

It is an arithmetic number, because the mean of its divisors is an integer number (2275152).

Almost surely, 242654450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42654450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54603648).

42654450 is an abundant number, since it is smaller than the sum of its proper divisors (66552846).

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

42654450 is a wasteful number, since it uses less digits than its factorization.

42654450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 42654450 is about 6531.0374367324. The cubic root of 42654450 is about 349.3988319567.

The spelling of 42654450 in words is "forty-two million, six hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 4650 9173 18346 27519 45865 55038 91730 137595 229325 275190 284363 458650 568726 687975 853089 1375950 1421815 1706178 2843630 4265445 7109075 8530890 14218150 21327225 42654450