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427019040 = 253657523
BaseRepresentation
bin11001011100111…
…100101100100000
31002202111211000000
4121130330230200
51333304102130
6110212300000
713403413320
oct3134745440
91082454000
10427019040
111aa04a7a8
12bb011600
136a6117b6
14409d9280
152774e260
hex1973cb20

427019040 has 336 divisors, whose sum is σ = 1731941568. Its totient is φ = 97417728.

The previous prime is 427019029. The next prime is 427019041. The reversal of 427019040 is 40910724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 427018995 and 427019013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427019041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816219 + ... + 816741.

It is an arithmetic number, because the mean of its divisors is an integer number (5154588).

Almost surely, 2427019040 is an apocalyptic number.

427019040 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 427019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865970784).

427019040 is an abundant number, since it is smaller than the sum of its proper divisors (1304922528).

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

427019040 is an equidigital number, since it uses as much as digits as its factorization.

427019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 427019040 is about 20664.4390197266. The cubic root of 427019040 is about 753.0360135789.

Adding to 427019040 its reverse (40910724), we get a palindrome (467929764).

The spelling of 427019040 in words is "four hundred twenty-seven million, nineteen thousand, forty".