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128829426 = 23112292211
BaseRepresentation
bin1111010110111…
…00011111110010
322222102012202020
413223130133302
5230440020201
620441132310
73123013665
oct753343762
9288365666
10128829426
11667a2500
123718a096
13208c8a3b
14131776dc
15b49ba36
hex7adc7f2

128829426 has 72 divisors (see below), whose sum is σ = 294704592. Its totient is φ = 37514400.

The previous prime is 128829403. The next prime is 128829473. The reversal of 128829426 is 624928821.

Its product of digits (110592) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 610461 + ... + 610671.

Almost surely, 2128829426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128829426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147352296).

128829426 is an abundant number, since it is smaller than the sum of its proper divisors (165875166).

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

128829426 is a wasteful number, since it uses less digits than its factorization.

128829426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 256 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 128829426 is about 11350.3051060313. The cubic root of 128829426 is about 505.0546305634.

The spelling of 128829426 in words is "one hundred twenty-eight million, eight hundred twenty-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 211 242 319 363 422 633 638 726 841 957 1266 1682 1914 2321 2523 3509 4642 5046 6119 6963 7018 9251 10527 12238 13926 18357 18502 21054 25531 27753 36714 51062 55506 67309 76593 101761 134618 153186 177451 201927 203522 305283 354902 403854 532353 610566 740399 1064706 1480798 1951961 2221197 3903922 4442394 5855883 11711766 21471571 42943142 64414713 128829426