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126852816 = 24319367379
BaseRepresentation
bin1111000111110…
…01111011010000
322211200210100110
413203321323100
5224433242231
620330521320
73100142166
oct743717320
9284623313
10126852816
1165672442
1236596240
132038614c
1412bc1236
15b20b046
hex78f9ed0

126852816 has 80 divisors (see below), whose sum is σ = 346803200. Its totient is φ = 39844224.

The previous prime is 126852809. The next prime is 126852829. The reversal of 126852816 is 618258621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334515 + ... + 334893.

It is an arithmetic number, because the mean of its divisors is an integer number (4335040).

Almost surely, 2126852816 is an apocalyptic number.

126852816 is a gapful number since it is divisible by the number (16) 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 126852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173401600).

126852816 is an abundant number, since it is smaller than the sum of its proper divisors (219950384).

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

126852816 is a wasteful number, since it uses less digits than its factorization.

126852816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 126852816 is about 11262.8955424438. The cubic root of 126852816 is about 502.4583149005.

The spelling of 126852816 in words is "one hundred twenty-six million, eight hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 367 379 456 734 758 912 1101 1137 1468 1516 2202 2274 2936 3032 4404 4548 5872 6064 6973 7201 8808 9096 13946 14402 17616 18192 20919 21603 27892 28804 41838 43206 55784 57608 83676 86412 111568 115216 139093 167352 172824 278186 334704 345648 417279 556372 834558 1112744 1669116 2225488 2642767 3338232 5285534 6676464 7928301 10571068 15856602 21142136 31713204 42284272 63426408 126852816