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2828146431 = 31127791037
BaseRepresentation
bin1010100010010010…
…0001011011111111
321022002122201120010
42220210201123333
521243001141211
61144344554303
7130040563605
oct25044413377
97262581503
102828146431
111221462300
1266b182993
13360c03636
141cb86d875
151184494a6
hexa89216ff

2828146431 has 12 divisors (see below), whose sum is σ = 4144832216. Its totient is φ = 1714027920.

The previous prime is 2828146423. The next prime is 2828146481. The reversal of 2828146431 is 1346418282.

It is not a de Polignac number, because 2828146431 - 23 = 2828146423 is a prime.

It is a super-2 number, since 2×28281464312 = 15996824470356075522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2828146431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828146411) 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 11 ways as a sum of consecutive naturals, for example, 3895156 + ... + 3895881.

Almost surely, 22828146431 is an apocalyptic number.

2828146431 is a deficient number, since it is larger than the sum of its proper divisors (1316685785).

2828146431 is a wasteful number, since it uses less digits than its factorization.

2828146431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791062 (or 7791051 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 2828146431 is about 53180.3199595489. The cubic root of 2828146431 is about 1414.1667785344.

The spelling of 2828146431 in words is "two billion, eight hundred twenty-eight million, one hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 7791037 23373111 85701407 257104221 942715477 2828146431