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128649472 = 2871741103
BaseRepresentation
bin1111010101100…
…00100100000000
322222002001220021
413222300210000
5230413240342
620433223224
73121334230
oct752604400
9288061807
10128649472
116668a286
1237101b14
1320864b63
141312bcc0
15b463567
hex7ab0900

128649472 has 144 divisors (see below), whose sum is σ = 321414912. Its totient is φ = 50135040.

The previous prime is 128649463. The next prime is 128649487. The reversal of 128649472 is 274946821.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248973 + ... + 1249075.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2128649472 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 128649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

128649472 is an abundant number, since it is smaller than the sum of its proper divisors (192765440).

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

128649472 is a wasteful number, since it uses less digits than its factorization.

128649472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 128649472 is about 11342.3750599246. The cubic root of 128649472 is about 504.8193609394.

The spelling of 128649472 in words is "one hundred twenty-eight million, six hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 103 112 119 128 136 164 206 224 238 256 272 287 328 412 448 476 544 574 656 697 721 824 896 952 1088 1148 1312 1394 1442 1648 1751 1792 1904 2176 2296 2624 2788 2884 3296 3502 3808 4223 4352 4592 4879 5248 5576 5768 6592 7004 7616 8446 9184 9758 10496 11152 11536 12257 13184 14008 15232 16892 18368 19516 22304 23072 24514 26368 28016 29561 30464 33784 36736 39032 44608 46144 49028 56032 59122 67568 71791 73472 78064 89216 92288 98056 112064 118244 135136 143582 156128 178432 184576 196112 224128 236488 270272 287164 312256 392224 448256 472976 502537 540544 574328 624512 784448 945952 1005074 1081088 1148656 1249024 1568896 1891904 2010148 2297312 3137792 3783808 4020296 4594624 7567616 8040592 9189248 16081184 18378496 32162368 64324736 128649472