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128244192 = 25317179439
BaseRepresentation
bin1111010010011…
…01100111100000
322221022110221220
413221031213200
5230312303232
620420415040
73115025526
oct751154740
9287273856
10128244192
116643283a
1236b47480
132075254b
1413064316
15b3d342c
hex7a4d9e0

128244192 has 96 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 39917568.

The previous prime is 128244191. The next prime is 128244197. The reversal of 128244192 is 291442821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128244191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291909 + ... + 292347.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2128244192 is an apocalyptic number.

128244192 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 128244192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

128244192 is an abundant number, since it is smaller than the sum of its proper divisors (231007008).

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

128244192 is a wasteful number, since it uses less digits than its factorization.

128244192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 128244192 is about 11324.4952205385. The cubic root of 128244192 is about 504.2886982916.

The spelling of 128244192 in words is "one hundred twenty-eight million, two hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 179 204 272 358 408 439 537 544 716 816 878 1074 1317 1432 1632 1756 2148 2634 2864 3043 3512 4296 5268 5728 6086 7024 7463 8592 9129 10536 12172 14048 14926 17184 18258 21072 22389 24344 29852 36516 42144 44778 48688 59704 73032 78581 89556 97376 119408 146064 157162 179112 235743 238816 292128 314324 358224 471486 628648 716448 942972 1257296 1335877 1885944 2514592 2671754 3771888 4007631 5343508 7543776 8015262 10687016 16030524 21374032 32061048 42748064 64122096 128244192