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42343760 = 245618677
BaseRepresentation
bin1010000110000…
…1110101010000
32221200021201102
42201201311100
541320000020
64111323532
71022626124
oct241416520
987607642
1042343760
11219a1548
12122205a8
138a075a4
1458a3584
153ab6475
hex2861d50

42343760 has 40 divisors (see below), whose sum is σ = 100074696. Its totient is φ = 16657920.

The previous prime is 42343751. The next prime is 42343781. The reversal of 42343760 is 6734324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 41886784 = 676^2 + 6472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 9218.

Almost surely, 242343760 is an apocalyptic number.

42343760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42343760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50037348).

42343760 is an abundant number, since it is smaller than the sum of its proper divisors (57730936).

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

42343760 is a wasteful number, since it uses less digits than its factorization.

42343760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 42343760 is about 6507.2083107889. The cubic root of 42343760 is about 348.5484372033.

The spelling of 42343760 in words is "forty-two million, three hundred forty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 8677 17354 34708 43385 69416 86770 138832 173540 347080 529297 694160 1058594 2117188 2646485 4234376 5292970 8468752 10585940 21171880 42343760