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126982452 = 223171016163
BaseRepresentation
bin1111001000110…
…01100100110100
322211221101011210
413210121210310
5230001414302
620333401420
73101222142
oct744314464
9284841153
10126982452
1165750883
1236639270
132040015c
1412c16592
15b23466c
hex7919934

126982452 has 48 divisors (see below), whose sum is σ = 316878912. Its totient is φ = 39436800.

The previous prime is 126982403. The next prime is 126982459. The reversal of 126982452 is 254289621.

It is a super-2 number, since 2×1269824522 = 32249086231864608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126982452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126982459) 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 15 ways as a sum of consecutive naturals, for example, 17523 + ... + 23685.

It is an arithmetic number, because the mean of its divisors is an integer number (6601644).

Almost surely, 2126982452 is an apocalyptic number.

126982452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126982452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158439456).

126982452 is an abundant number, since it is smaller than the sum of its proper divisors (189896460).

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

126982452 is a wasteful number, since it uses less digits than its factorization.

126982452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6286 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 126982452 is about 11268.6490760872. The cubic root of 126982452 is about 502.6294174222.

The spelling of 126982452 in words is "one hundred twenty-six million, nine hundred eighty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1212 1717 3434 5151 6163 6868 10302 12326 18489 20604 24652 36978 73956 104771 209542 314313 419084 622463 628626 1244926 1257252 1867389 2489852 3734778 7469556 10581871 21163742 31745613 42327484 63491226 126982452