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128981448 = 233217167631
BaseRepresentation
bin1111011000000…
…01100111001000
322222200221021200
413230001213020
5231004401243
620444304200
73124216131
oct754014710
9288627250
10128981448
1166896742
1237242060
132094ccab
14131b6c88
15b4cbad3
hex7b019c8

128981448 has 96 divisors (see below), whose sum is σ = 372677760. Its totient is φ = 40158720.

The previous prime is 128981429. The next prime is 128981453. The reversal of 128981448 is 844189821.

128981448 is a `hidden beast` number, since 128 + 9 + 81 + 448 = 666.

It is a Cunningham number, because it is equal to 113572-1.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204093 + ... + 204723.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2128981448 is an apocalyptic number.

128981448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128981448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

128981448 is an abundant number, since it is smaller than the sum of its proper divisors (243696312).

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

128981448 is a wasteful number, since it uses less digits than its factorization.

128981448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 820 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 128981448 is about 11356.9999559743. Note that the first 4 decimals coincide. The cubic root of 128981448 is about 505.2532115778.

The spelling of 128981448 in words is "one hundred twenty-eight million, nine hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 167 204 306 334 408 501 612 631 668 1002 1224 1262 1336 1503 1893 2004 2524 2839 3006 3786 4008 5048 5678 5679 6012 7572 8517 10727 11356 11358 12024 15144 17034 21454 22712 22716 25551 32181 34068 42908 45432 51102 64362 68136 85816 96543 102204 105377 128724 193086 204408 210754 257448 316131 386172 421508 632262 772344 843016 948393 1264524 1791409 1896786 2529048 3582818 3793572 5374227 7165636 7587144 10748454 14331272 16122681 21496908 32245362 42993816 64490724 128981448