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427372048 = 24137241809
BaseRepresentation
bin11001011110010…
…010111000010000
31002210011202020101
4121132102320100
51333401401143
6110224022144
713406413435
oct3136227020
91083152211
10427372048
111aa270a44
12bb161954
136a70638c
1440a8bb8c
15277bdb4d
hex19792e10

427372048 has 40 divisors (see below), whose sum is σ = 838573560. Its totient is φ = 210984960.

The previous prime is 427372031. The next prime is 427372087. The reversal of 427372048 is 840273724.

It can be written as a sum of positive squares in 4 ways, for example, as 213393664 + 213978384 = 14608^2 + 14628^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 427371998 and 427372016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527868 + ... + 528676.

It is an arithmetic number, because the mean of its divisors is an integer number (20964339).

Almost surely, 2427372048 is an apocalyptic number.

It is an amenable number.

427372048 is a deficient number, since it is larger than the sum of its proper divisors (411201512).

427372048 is a wasteful number, since it uses less digits than its factorization.

427372048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 427372048 is about 20672.9786920028. The cubic root of 427372048 is about 753.2434629698.

The spelling of 427372048 in words is "four hundred twenty-seven million, three hundred seventy-two thousand, forty-eight".

Divisors: 1 2 4 8 16 137 241 274 482 548 809 964 1096 1618 1928 2192 3236 3856 6472 12944 33017 66034 110833 132068 194969 221666 264136 389938 443332 528272 779876 886664 1559752 1773328 3119504 26710753 53421506 106843012 213686024 427372048