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2563428 = 223730517
BaseRepresentation
bin1001110001110101100100
311211020100210
421301311210
51124012203
6130535420
730534360
oct11616544
94736323
102563428
1114a0a3a
12a37570
136b9a2a
144aa2a0
15359803
hex271d64

2563428 has 24 divisors (see below), whose sum is σ = 6836032. Its totient is φ = 732384.

The previous prime is 2563417. The next prime is 2563433. The reversal of 2563428 is 8243652.

2563428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25634282 = 13142326222368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2563395 and 2563404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15175 + ... + 15342.

22563428 is an apocalyptic number.

2563428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2563428 is an abundant number, since it is smaller than the sum of its proper divisors (4272604).

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

2563428 is a wasteful number, since it uses less digits than its factorization.

2563428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30531 (or 30529 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2563428 is about 1601.0708916222. The cubic root of 2563428 is about 136.8591088909.

The spelling of 2563428 in words is "two million, five hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 30517 61034 91551 122068 183102 213619 366204 427238 640857 854476 1281714 2563428