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126052848 = 2436101107
BaseRepresentation
bin1111000001101…
…10100111110000
322210012011000000
413200312213300
5224232142343
620301430000
73060301005
oct740664760
9283164000
10126052848
1165176409
123626b300
1320165cac
1412a538ac
15b0eded3
hex78369f0

126052848 has 140 divisors (see below), whose sum is σ = 373255128. Its totient is φ = 41212800.

The previous prime is 126052813. The next prime is 126052853. The reversal of 126052848 is 848250621.

126052848 is a `hidden beast` number, since 1 + 2 + 605 + 2 + 8 + 48 = 666.

It is a super-2 number, since 2×1260528482 = 31778640977822208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1178011 + ... + 1178117.

Almost surely, 2126052848 is an apocalyptic number.

126052848 is a gapful number since it is divisible by the number (18) 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 126052848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186627564).

126052848 is an abundant number, since it is smaller than the sum of its proper divisors (247202280).

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

126052848 is a wasteful number, since it uses less digits than its factorization.

126052848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 126052848 is about 11227.3259505547. The cubic root of 126052848 is about 501.3998743791.

The spelling of 126052848 in words is "one hundred twenty-six million, fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 107 108 144 162 202 214 216 243 303 321 324 404 428 432 486 606 642 648 729 808 856 909 963 972 1212 1284 1296 1458 1616 1712 1818 1926 1944 2424 2568 2727 2889 2916 3636 3852 3888 4848 5136 5454 5778 5832 7272 7704 8181 8667 10807 10908 11556 11664 14544 15408 16362 17334 21614 21816 23112 24543 26001 32421 32724 34668 43228 43632 46224 49086 52002 64842 65448 69336 73629 78003 86456 97263 98172 104004 129684 130896 138672 147258 156006 172912 194526 196344 208008 259368 291789 294516 312012 389052 392688 416016 518736 583578 589032 624024 778104 875367 1167156 1178064 1248048 1556208 1750734 2334312 2626101 3501468 4668624 5252202 7002936 7878303 10504404 14005872 15756606 21008808 31513212 42017616 63026424 126052848