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128194048 = 293767101
BaseRepresentation
bin1111010010000…
…01011000000000
322221012221011201
413221001120000
5230304202143
620415350544
73114426403
oct751013000
9287187151
10128194048
11663a90a4
1236b22454
1320735788
141304dd3a
15b3c364d
hex7a41600

128194048 has 80 divisors (see below), whose sum is σ = 269630064. Its totient is φ = 60825600.

The previous prime is 128193953. The next prime is 128194049. The reversal of 128194048 is 840491821.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 128193998 and 128194016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128194049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269198 + ... + 1269298.

Almost surely, 2128194048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134815032).

128194048 is an abundant number, since it is smaller than the sum of its proper divisors (141436016).

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

128194048 is an equidigital number, since it uses as much as digits as its factorization.

128194048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 128194048 is about 11322.2810422635. The cubic root of 128194048 is about 504.2229634135. Note that the first 3 decimals are identical.

The spelling of 128194048 in words is "one hundred twenty-eight million, one hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 16 32 37 64 67 74 101 128 134 148 202 256 268 296 404 512 536 592 808 1072 1184 1616 2144 2368 2479 3232 3737 4288 4736 4958 6464 6767 7474 8576 9472 9916 12928 13534 14948 17152 18944 19832 25856 27068 29896 34304 39664 51712 54136 59792 79328 108272 119584 158656 216544 239168 250379 317312 433088 478336 500758 634624 866176 956672 1001516 1269248 1732352 1913344 2003032 3464704 4006064 8012128 16024256 32048512 64097024 128194048