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427240032 = 25311094013
BaseRepresentation
bin11001011101110…
…010101001100000
31002202221001010220
4121131302221200
51333333140112
6110221123040
713405323522
oct3135625140
91082831126
10427240032
111aa19083a
12bb0b9480
136a68b26b
1440a55a12
152779498c
hex19772a60

427240032 has 48 divisors (see below), whose sum is σ = 1122796080. Its totient is φ = 142249472.

The previous prime is 427240031. The next prime is 427240133. The reversal of 427240032 is 230042724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4272400322 = 365068089886722048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 427239984 and 427240011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427240031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104458 + ... + 108470.

It is an arithmetic number, because the mean of its divisors is an integer number (23391585).

Almost surely, 2427240032 is an apocalyptic number.

It is an amenable number.

427240032 is an abundant number, since it is smaller than the sum of its proper divisors (695556048).

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

427240032 is a wasteful number, since it uses less digits than its factorization.

427240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 427240032 is about 20669.7854850988. The cubic root of 427240032 is about 753.1658955588.

Adding to 427240032 its reverse (230042724), we get a palindrome (657282756).

The spelling of 427240032 in words is "four hundred twenty-seven million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1109 2218 3327 4013 4436 6654 8026 8872 12039 13308 16052 17744 24078 26616 32104 35488 48156 53232 64208 96312 106464 128416 192624 385248 4450417 8900834 13351251 17801668 26702502 35603336 53405004 71206672 106810008 142413344 213620016 427240032