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42264450 = 2335231307
BaseRepresentation
bin1010000100111…
…0011110000010
32221112020221000
42201032132002
541304430300
64105512430
71022145654
oct241163602
987466830
1042264450
11219479a8
12121a2716
1389aa467
1458826d4
153a9cc00
hex284e782

42264450 has 48 divisors (see below), whose sum is σ = 116465760. Its totient is φ = 11270160.

The previous prime is 42264437. The next prime is 42264451. The reversal of 42264450 is 5446224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42264451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14304 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (2426370).

Almost surely, 242264450 is an apocalyptic number.

42264450 is an abundant number, since it is smaller than the sum of its proper divisors (74201310).

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

42264450 is a wasteful number, since it uses less digits than its factorization.

42264450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31328 (or 31317 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42264450 is about 6501.1114434380. Note that the first 3 decimals coincide. The cubic root of 42264450 is about 348.3306904149.

The spelling of 42264450 in words is "forty-two million, two hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 31307 62614 93921 156535 187842 281763 313070 469605 563526 782675 845289 939210 1408815 1565350 1690578 2348025 2817630 4226445 4696050 7044075 8452890 14088150 21132225 42264450