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427825126 = 27110329251
BaseRepresentation
bin11001100000000…
…001011111100110
31002211000202202001
4121200001133212
51334010401001
6110241435514
713413311401
oct3140013746
91084022661
10427825126
111aa550393
12bb33bb9a
136a834681
1440b68d38
152785d001
hex198017e6

427825126 has 16 divisors (see below), whose sum is σ = 657116928. Its totient is φ = 208845000.

The previous prime is 427825087. The next prime is 427825127. The reversal of 427825126 is 621528724.

It is a happy number.

427825126 is a nontrivial binomial coefficient, being equal to C(29252, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427825127) 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 29251.

It is an arithmetic number, because the mean of its divisors is an integer number (41069808).

Almost surely, 2427825126 is an apocalyptic number.

427825126 is the 29251-st triangular number and also the 14626-th hexagonal number.

427825126 is the 9751-st centered nonagonal number.

427825126 is a deficient number, since it is larger than the sum of its proper divisors (229291802).

427825126 is a wasteful number, since it uses less digits than its factorization.

427825126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29427.

The product of its digits is 53760, while the sum is 37.

The square root of 427825126 is about 20683.9340068566. The cubic root of 427825126 is about 753.5095523662.

The spelling of 427825126 in words is "four hundred twenty-seven million, eight hundred twenty-five thousand, one hundred twenty-six".

Divisors: 1 2 71 103 142 206 7313 14626 29251 58502 2076821 3012853 4153642 6025706 213912563 427825126