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42350742 = 2337181619
BaseRepresentation
bin1010000110001…
…1100010010110
32221200122022000
42201203202112
541320210432
64111420130
71022655360
oct241434226
987618260
1042350742
11219a6815
1212224646
138a0a815
1458a5d30
153ab857c
hex2863896

42350742 has 64 divisors (see below), whose sum is σ = 108326400. Its totient is φ = 12013920.

The previous prime is 42350741. The next prime is 42350747. The reversal of 42350742 is 24705324.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42350741) 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 31 ways as a sum of consecutive naturals, for example, 68109 + ... + 68727.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 242350742 is an apocalyptic number.

42350742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42350742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

42350742 is an abundant number, since it is smaller than the sum of its proper divisors (65975658).

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

42350742 is a wasteful number, since it uses less digits than its factorization.

42350742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42350742 is about 6507.7447706560. The cubic root of 42350742 is about 348.5675933627.

The spelling of 42350742 in words is "forty-two million, three hundred fifty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 362 378 543 619 1086 1238 1267 1629 1857 2534 3258 3714 3801 4333 4887 5571 7602 8666 9774 11142 11403 12999 16713 22806 25998 33426 34209 38997 68418 77994 112039 116991 224078 233982 336117 672234 784273 1008351 1568546 2016702 2352819 3025053 4705638 6050106 7058457 14116914 21175371 42350742