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427246092 = 2232721331601
BaseRepresentation
bin11001011101110…
…100001000001100
31002202221100110100
4121131310020030
51333333333332
6110221211100
713405350300
oct3135641014
91082840410
10427246092
111aa195349
12bb100a90
136a690c50
1440a57d00
152779667c
hex1977420c

427246092 has 216 divisors, whose sum is σ = 1398913152. Its totient is φ = 108864000.

The previous prime is 427246087. The next prime is 427246097. The reversal of 427246092 is 290642724.

427246092 is a `hidden beast` number, since 4 + 27 + 24 + 609 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (427246087) and next prime (427246097).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (427246097) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 710592 + ... + 711192.

Almost surely, 2427246092 is an apocalyptic number.

427246092 is a gapful number since it is divisible by the number (42) 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 427246092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699456576).

427246092 is an abundant number, since it is smaller than the sum of its proper divisors (971667060).

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

427246092 is a wasteful number, since it uses less digits than its factorization.

427246092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427246092 is about 20669.9320753601. The cubic root of 427246092 is about 753.1694565264.

The spelling of 427246092 in words is "four hundred twenty-seven million, two hundred forty-six thousand, ninety-two".