Search a number
-
+
128350044 = 223231472447
BaseRepresentation
bin1111010011001…
…11011101011100
322221111212011100
413221213131130
5230324200134
620422553100
73115646244
oct751473534
9287455140
10128350044
11664a5319
1236b98790
132078b794
1413090b24
15b404999
hex7a6775c

128350044 has 72 divisors (see below), whose sum is σ = 342171648. Its totient is φ = 40505760.

The previous prime is 128350009. The next prime is 128350063. The reversal of 128350044 is 440053821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51229 + ... + 53675.

It is an arithmetic number, because the mean of its divisors is an integer number (4752384).

Almost surely, 2128350044 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 128350044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824).

128350044 is an abundant number, since it is smaller than the sum of its proper divisors (213821604).

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

128350044 is a wasteful number, since it uses less digits than its factorization.

128350044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 128350044 is about 11329.1678423439. The cubic root of 128350044 is about 504.4274057753.

The spelling of 128350044 in words is "one hundred twenty-eight million, three hundred fifty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 2447 2914 4371 4894 5828 7341 8742 9788 13113 14682 17484 22023 26226 29364 44046 52452 75857 88092 115009 151714 227571 230018 303428 345027 455142 460036 682713 690054 910284 1035081 1365426 1380108 2070162 2730852 3565279 4140324 7130558 10695837 14261116 21391674 32087511 42783348 64175022 128350044