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68844032 = 29435359
BaseRepresentation
bin1000001101001…
…11101000000000
311210112122020222
410012213220000
5120111002112
610455322212
71464110315
oct406475000
9153478228
1068844032
11359515a4
121b080368
131135561a
149200d0c
15609d372
hex41a7a00

68844032 has 80 divisors (see below), whose sum is σ = 145838880. Its totient is φ = 32428032.

The previous prime is 68844023. The next prime is 68844047. The reversal of 68844032 is 23044886.

It is a junction number, because it is equal to n+sod(n) for n = 68843983 and 68844001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1166819 + ... + 1166877.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 268844032 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 68844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

68844032 is an abundant number, since it is smaller than the sum of its proper divisors (76994848).

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

68844032 is an equidigital number, since it uses as much as digits as its factorization.

68844032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 68844032 is about 8297.2303812778. The cubic root of 68844032 is about 409.8473197119.

It can be divided in two parts, 688 and 44032, that multiplied together give a square (30294016 = 55042).

The spelling of 68844032 in words is "sixty-eight million, eight hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 53 59 64 86 106 118 128 172 212 236 256 344 424 472 512 688 848 944 1376 1696 1888 2279 2537 2752 3127 3392 3776 4558 5074 5504 6254 6784 7552 9116 10148 11008 12508 13568 15104 18232 20296 22016 25016 27136 30208 36464 40592 50032 72928 81184 100064 134461 145856 162368 200128 268922 291712 324736 400256 537844 583424 649472 800512 1075688 1166848 1298944 1601024 2151376 4302752 8605504 17211008 34422016 68844032