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128888032 = 2572136323
BaseRepresentation
bin1111010111010…
…10110011100000
322222112012010211
413223222303200
5230443404112
620442303504
73123346600
oct753526340
9288465124
10128888032
1166832539
12371b7b94
1320919610
1413190c00
15b4ae0a7
hex7aeace0

128888032 has 72 divisors (see below), whose sum is σ = 317932776. Its totient is φ = 50980608.

The previous prime is 128888029. The next prime is 128888047. The reversal of 128888032 is 230888821.

It is a super-2 number, since 2×1288880322 = 33224249585666048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17223 + ... + 23545.

It is an arithmetic number, because the mean of its divisors is an integer number (4415733).

Almost surely, 2128888032 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 128888032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158966388).

128888032 is an abundant number, since it is smaller than the sum of its proper divisors (189044744).

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

128888032 is a wasteful number, since it uses less digits than its factorization.

128888032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 128888032 is about 11352.8865052021. The cubic root of 128888032 is about 505.1312040228.

The spelling of 128888032 in words is "one hundred twenty-eight million, eight hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 6323 10192 12646 20384 25292 44261 50584 82199 88522 101168 164398 177044 202336 309827 328796 354088 575393 619654 657592 708176 1150786 1239308 1315184 1416352 2301572 2478616 2630368 4027751 4603144 4957232 8055502 9206288 9914464 16111004 18412576 32222008 64444016 128888032