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42923840 = 265314327
BaseRepresentation
bin1010001110111…
…1011101000000
32222202202102212
42203233131000
541442030330
64132001252
71030563251
oct243573500
988682385
1042923840
1122258353
1212460228
138b7b62b
1459b4b28
153b7d295
hex28ef740

42923840 has 56 divisors (see below), whose sum is σ = 105533952. Its totient is φ = 16611840.

The previous prime is 42923833. The next prime is 42923851. The reversal of 42923840 is 4832924.

42923840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42923797 and 42923806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7757 + ... + 12083.

Almost surely, 242923840 is an apocalyptic number.

42923840 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 42923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52766976).

42923840 is an abundant number, since it is smaller than the sum of its proper divisors (62610112).

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

42923840 is a wasteful number, since it uses less digits than its factorization.

42923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 42923840 is about 6551.6288051140. The cubic root of 42923840 is about 350.1328475286.

The spelling of 42923840 in words is "forty-two million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4327 4960 8654 9920 17308 21635 34616 43270 69232 86540 134137 138464 173080 268274 276928 346160 536548 670685 692320 1073096 1341370 1384640 2146192 2682740 4292384 5365480 8584768 10730960 21461920 42923840