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42063840 = 25335713107
BaseRepresentation
bin1010000001110…
…1011111100000
32221011001202000
42200131133200
541232020330
64101324000
71020352050
oct240353740
987131660
1042063840
1121820205
1212106600
13893a060
14582d560
153a5d560
hex281d7e0

42063840 has 384 divisors, whose sum is σ = 182891520. Its totient is φ = 8792064.

The previous prime is 42063839. The next prime is 42063859. The reversal of 42063840 is 4836024.

42063840 is a `hidden beast` number, since 4 + 20 + 638 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393067 + ... + 393173.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 242063840 is an apocalyptic number.

42063840 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 42063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

42063840 is an abundant number, since it is smaller than the sum of its proper divisors (140827680).

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

42063840 is a wasteful number, since it uses less digits than its factorization.

42063840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42063840 is about 6485.6641911218. The cubic root of 42063840 is about 347.7786940138.

Adding to 42063840 its reverse (4836024), we get a palindrome (46899864).

The spelling of 42063840 in words is "forty-two million, sixty-three thousand, eight hundred forty".