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128825532 = 223311108439
BaseRepresentation
bin1111010110110…
…11100010111100
322222102000102000
413223123202330
5230434404112
620441102300
73122666433
oct753334274
9288360360
10128825532
116679a590
1237187990
13208c7034
141317611a
15b49a7dc
hex7adb8bc

128825532 has 48 divisors (see below), whose sum is σ = 364358400. Its totient is φ = 39037680.

The previous prime is 128825513. The next prime is 128825561. The reversal of 128825532 is 235528821.

128825532 is a `hidden beast` number, since 1 + 28 + 82 + 553 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 53032 + ... + 55407.

It is an arithmetic number, because the mean of its divisors is an integer number (7590800).

Almost surely, 2128825532 is an apocalyptic number.

128825532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128825532 is an abundant number, since it is smaller than the sum of its proper divisors (235532868).

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

128825532 is a wasteful number, since it uses less digits than its factorization.

128825532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108463 (or 108455 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 128825532 is about 11350.1335674960. The cubic root of 128825532 is about 505.0495419161.

The spelling of 128825532 in words is "one hundred twenty-eight million, eight hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 108439 216878 325317 433756 650634 975951 1192829 1301268 1951902 2385658 2927853 3578487 3903804 4771316 5855706 7156974 10735461 11711412 14313948 21470922 32206383 42941844 64412766 128825532