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427423815 = 325721323137
BaseRepresentation
bin11001011110011…
…111100001000111
31002210021101020200
4121132133201013
51333410030230
6110225101543
713410020400
oct3136374107
91083241220
10427423815
111aa2a6925
12bb1878b3
136a723b00
1440aa29a7
15277ce160
hex1979f847

427423815 has 216 divisors, whose sum is σ = 989359488. Its totient is φ = 169827840.

The previous prime is 427423769. The next prime is 427423817. The reversal of 427423815 is 518324724.

It is a happy number.

427423815 is a `hidden beast` number, since 4 + 274 + 2 + 381 + 5 = 666.

It is not a de Polignac number, because 427423815 - 26 = 427423751 is a prime.

It is a super-2 number, since 2×4274238152 = 365382235258308450, which contains 22 as substring.

Its product of digits (53760) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 427423815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427423817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11551977 + ... + 11552013.

It is an arithmetic number, because the mean of its divisors is an integer number (4580368).

Almost surely, 2427423815 is an apocalyptic number.

427423815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

427423815 is an abundant number, since it is smaller than the sum of its proper divisors (561935673).

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

427423815 is a wasteful number, since it uses less digits than its factorization.

427423815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 427423815 is about 20674.2306991095. The cubic root of 427423815 is about 753.2738748636.

Subtracting 427423815 from its reverse (518324724), we obtain a palindrome (90900909).

The spelling of 427423815 in words is "four hundred twenty-seven million, four hundred twenty-three thousand, eight hundred fifteen".