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42323840 = 275135087
BaseRepresentation
bin1010000101110…
…0111110000000
32221122021101122
42201130332000
541313330330
64111051412
71022514056
oct241347600
987567348
1042323840
1121988589
1212210b68
1389cb4c0
14589a1d6
153ab05e5
hex285cf80

42323840 has 64 divisors (see below), whose sum is σ = 108984960. Its totient is φ = 15624192.

The previous prime is 42323837. The next prime is 42323843. The reversal of 42323840 is 4832324.

It is an interprime number because it is at equal distance from previous prime (42323837) and next prime (42323843).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42323843) 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 7 ways as a sum of consecutive naturals, for example, 5777 + ... + 10863.

It is an arithmetic number, because the mean of its divisors is an integer number (1702890).

Almost surely, 242323840 is an apocalyptic number.

42323840 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 42323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54492480).

42323840 is an abundant number, since it is smaller than the sum of its proper divisors (66661120).

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

42323840 is a wasteful number, since it uses less digits than its factorization.

42323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 42323840 is about 6505.6775204432. The cubic root of 42323840 is about 348.4937721325.

The spelling of 42323840 in words is "forty-two million, three hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 5087 8320 10174 20348 25435 40696 50870 66131 81392 101740 132262 162784 203480 264524 325568 330655 406960 529048 651136 661310 813920 1058096 1322620 1627840 2116192 2645240 3255680 4232384 5290480 8464768 10580960 21161920 42323840