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126888426 = 23271099239
BaseRepresentation
bin1111001000000…
…10100111101010
322211202121012100
413210002213222
5224440412201
620331354230
73100351050
oct744024752
9284677170
10126888426
1165697175
12365b2976
1320399412
1412bd01d0
15b216886
hex79029ea

126888426 has 48 divisors (see below), whose sum is σ = 317116800. Its totient is φ = 35917344.

The previous prime is 126888397. The next prime is 126888449. The reversal of 126888426 is 624888621.

It is a super-2 number, since 2×1268884262 = 32201345305514952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 9115 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (6606600).

Almost surely, 2126888426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126888426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

126888426 is an abundant number, since it is smaller than the sum of its proper divisors (190228374).

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

126888426 is a wasteful number, since it uses less digits than its factorization.

126888426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9360 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 126888426 is about 11264.4762860952. The cubic root of 126888426 is about 502.5053270394.

The spelling of 126888426 in words is "one hundred twenty-six million, eight hundred eighty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 9239 13734 18478 27717 55434 64673 83151 129346 166302 194019 388038 582057 1007051 1164114 2014102 3021153 6042306 7049357 9063459 14098714 18126918 21148071 42296142 63444213 126888426