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427296137 = 4123344729
BaseRepresentation
bin11001011110000…
…000010110001001
31002210000220002212
4121132000112021
51333341434022
6110222234505
713405646222
oct3136002611
91083026085
10427296137
111aa219a04
12bb125a35
136a6aa968
1440a6c249
15277a63e2
hex19780589

427296137 has 8 divisors (see below), whose sum is σ = 439606440. Its totient is φ = 415075840.

The previous prime is 427296131. The next prime is 427296151. The reversal of 427296137 is 731692724.

It can be written as a sum of positive squares in 4 ways, for example, as 3924361 + 423371776 = 1981^2 + 20576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 427296137 - 28 = 427295881 is a prime.

It is a super-3 number, since 3×4272961373 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 427296094 and 427296103.

It is not an unprimeable number, because it can be changed into a prime (427296131) 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, 12812 + ... + 31917.

It is an arithmetic number, because the mean of its divisors is an integer number (54950805).

Almost surely, 2427296137 is an apocalyptic number.

It is an amenable number.

427296137 is a deficient number, since it is larger than the sum of its proper divisors (12310303).

427296137 is a wasteful number, since it uses less digits than its factorization.

427296137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45003.

The product of its digits is 127008, while the sum is 41.

The square root of 427296137 is about 20671.1426147661. The cubic root of 427296137 is about 753.1988626030.

The spelling of 427296137 in words is "four hundred twenty-seven million, two hundred ninety-six thousand, one hundred thirty-seven".

Divisors: 1 41 233 9553 44729 1833889 10421857 427296137