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128850048 = 2733231621
BaseRepresentation
bin1111010111000…
…01100010000000
322222110021001000
413223201202000
5230441200143
620441412000
73123131055
oct753414200
9288407030
10128850048
1166806a48
123719a000
1320905242
141318102c
15b4a2bd3
hex7ae1880

128850048 has 128 divisors (see below), whose sum is σ = 397065600. Its totient is φ = 41057280.

The previous prime is 128850031. The next prime is 128850053. The reversal of 128850048 is 840058821.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 128849994 and 128850021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78678 + ... + 80298.

It is an arithmetic number, because the mean of its divisors is an integer number (3102075).

Almost surely, 2128850048 is an apocalyptic number.

128850048 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 128850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198532800).

128850048 is an abundant number, since it is smaller than the sum of its proper divisors (268215552).

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

128850048 is a wasteful number, since it uses less digits than its factorization.

128850048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 128850048 is about 11351.2135034101. The cubic root of 128850048 is about 505.0815775150.

The spelling of 128850048 in words is "one hundred twenty-eight million, eight hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1621 1656 1728 2208 2484 2944 3242 3312 3456 4416 4863 4968 6484 6624 8832 9726 9936 12968 13248 14589 19452 19872 25936 26496 29178 37283 38904 39744 43767 51872 58356 74566 77808 79488 87534 103744 111849 116712 149132 155616 175068 207488 223698 233424 298264 311232 335547 350136 447396 466848 596528 622464 671094 700272 894792 933696 1006641 1193056 1342188 1400544 1789584 1867392 2013282 2386112 2684376 2801088 3579168 4026564 4772224 5368752 5602176 7158336 8053128 10737504 14316672 16106256 21475008 32212512 42950016 64425024 128850048