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126428428 = 2273432143
BaseRepresentation
bin1111000100100…
…10010100001100
322210220020012101
413202102110030
5224331202203
620313444444
73063424000
oct742222414
9283806171
10126428428
1165402605
1236410724
1320267c29
1412b10700
15b17541d
hex789250c

126428428 has 48 divisors (see below), whose sum is σ = 264140800. Its totient is φ = 52898832.

The previous prime is 126428411. The next prime is 126428431. The reversal of 126428428 is 824824621.

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 15 ways as a sum of consecutive naturals, for example, 57925 + ... + 60067.

Almost surely, 2126428428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126428428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132070400).

126428428 is an abundant number, since it is smaller than the sum of its proper divisors (137712372).

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

126428428 is a wasteful number, since it uses less digits than its factorization.

126428428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2195 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 126428428 is about 11244.0396655295. The cubic root of 126428428 is about 501.8973615973.

It can be divided in two parts, 1264 and 28428, that added together give a palindrome (29692).

The spelling of 126428428 in words is "one hundred twenty-six million, four hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 343 602 686 1204 1372 2107 2143 4214 4286 8428 8572 14749 15001 29498 30002 58996 60004 92149 105007 184298 210014 368596 420028 645043 735049 1290086 1470098 2580172 2940196 4515301 9030602 18061204 31607107 63214214 126428428