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126379752 = 23343151811
BaseRepresentation
bin1111000100001…
…10011011101000
322210210202102120
413202012123220
5224323123002
620312431240
73063132042
oct742063350
9283722376
10126379752
1165379a84
12363a8520
132024ba25
1412adaa92
15b165cbc
hex78866e8

126379752 has 64 divisors (see below), whose sum is σ = 325839360. Its totient is φ = 40824000.

The previous prime is 126379741. The next prime is 126379763. The reversal of 126379752 is 257973621.

It is an interprime number because it is at equal distance from previous prime (126379741) and next prime (126379763).

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 15 ways as a sum of consecutive naturals, for example, 155427 + ... + 156237.

It is an arithmetic number, because the mean of its divisors is an integer number (5091240).

Almost surely, 2126379752 is an apocalyptic number.

126379752 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 126379752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162919680).

126379752 is an abundant number, since it is smaller than the sum of its proper divisors (199459608).

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

126379752 is a wasteful number, since it uses less digits than its factorization.

126379752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1010 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 126379752 is about 11241.8749325902. The cubic root of 126379752 is about 501.8329417715.

The spelling of 126379752 in words is "one hundred twenty-six million, three hundred seventy-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 151 172 258 302 344 453 516 604 811 906 1032 1208 1622 1812 2433 3244 3624 4866 6488 6493 9732 12986 19464 19479 25972 34873 38958 51944 69746 77916 104619 122461 139492 155832 209238 244922 278984 367383 418476 489844 734766 836952 979688 1469532 2939064 5265823 10531646 15797469 21063292 31594938 42126584 63189876 126379752