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42284370 = 23567109193
BaseRepresentation
bin1010000101001…
…1010101010010
32221120021020210
42201103111102
541311044440
64110144550
71022261022
oct241232522
987507223
1042284370
1121960967
12121b2156
1389b654b
145889a82
153aa3a80
hex2853552

42284370 has 64 divisors (see below), whose sum is σ = 104480640. Its totient is φ = 10948608.

The previous prime is 42284369. The next prime is 42284381. The reversal of 42284370 is 7348224.

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

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 218994 + ... + 219186.

It is an arithmetic number, because the mean of its divisors is an integer number (1632510).

Almost surely, 242284370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42284370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52240320).

42284370 is an abundant number, since it is smaller than the sum of its proper divisors (62196270).

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

42284370 is a wasteful number, since it uses less digits than its factorization.

42284370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379.

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42284370 is about 6502.6433086861. The cubic root of 42284370 is about 348.3854066719.

The spelling of 42284370 in words is "forty-two million, two hundred eighty-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 67 109 134 193 201 218 327 335 386 402 545 579 654 670 965 1005 1090 1158 1635 1930 2010 2895 3270 5790 7303 12931 14606 21037 21909 25862 36515 38793 42074 43818 63111 64655 73030 77586 105185 109545 126222 129310 193965 210370 219090 315555 387930 631110 1409479 2818958 4228437 7047395 8456874 14094790 21142185 42284370