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42450336 = 2532147397
BaseRepresentation
bin1010000111101…
…1110110100000
32221212200220200
42201323312200
541331402321
64113505200
71023551625
oct241736640
987780820
1042450336
1121a64625
1212272200
138a43c56
1458d034c
153ad7d26
hex287bda0

42450336 has 36 divisors (see below), whose sum is σ = 120718962. Its totient is φ = 14150016.

The previous prime is 42450307. The next prime is 42450337. The reversal of 42450336 is 63305424.

42450336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32490000 + 9960336 = 5700^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (42450337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73411 + ... + 73986.

Almost surely, 242450336 is an apocalyptic number.

It is an amenable number.

42450336 is an abundant number, since it is smaller than the sum of its proper divisors (78268626).

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

42450336 is a wasteful number, since it uses less digits than its factorization.

42450336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147413 (or 147402 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42450336 is about 6515.3922368496. The cubic root of 42450336 is about 348.8406154483.

The spelling of 42450336 in words is "forty-two million, four hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147397 294794 442191 589588 884382 1179176 1326573 1768764 2358352 2653146 3537528 4716704 5306292 7075056 10612584 14150112 21225168 42450336