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128974848 = 220341
BaseRepresentation
bin1111011000000…
…00000000000000
322222200121020020
413230000000000
5231004143343
620444213440
73124160652
oct754000000
9288617206
10128974848
1166891792
123723a280
1320949ca2
14131b46d2
15b4c9b83
hex7b00000

128974848 has 84 divisors (see below), whose sum is σ = 352321368. Its totient is φ = 41943040.

The previous prime is 128974841. The next prime is 128974877. The reversal of 128974848 is 848479821.

It is a super-2 number, since 2×1289748482 = 33269022833246208, which contains 22 as substring.

Its product of digits (1032192) is a multiple of the sum of its prime factors (84).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 128974848.

It is not an unprimeable number, because it can be changed into a prime (128974841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3145708 + ... + 3145748.

It is an arithmetic number, because the mean of its divisors is an integer number (4194302).

Almost surely, 2128974848 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 128974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160684).

128974848 is an abundant number, since it is smaller than the sum of its proper divisors (223346520).

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

128974848 is an frugal number, since it uses more digits than its factorization.

128974848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 128974848 is about 11356.7093825632. The cubic root of 128974848 is about 505.2445934700.

The spelling of 128974848 in words is "one hundred twenty-eight million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 4096 5248 6144 7872 8192 10496 12288 15744 16384 20992 24576 31488 32768 41984 49152 62976 65536 83968 98304 125952 131072 167936 196608 251904 262144 335872 393216 503808 524288 671744 786432 1007616 1048576 1343488 1572864 2015232 2686976 3145728 4030464 5373952 8060928 10747904 16121856 21495808 32243712 42991616 64487424 128974848