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68431872 = 21235569
BaseRepresentation
bin1000001010000…
…11000000000000
311202202200212210
410011003000000
5120004304442
610442422120
71460442555
oct405030000
9152680783
1068431872
113569a973
121ab01940
131123cb42
149134a2c
15601b19c
hex4143000

68431872 has 52 divisors (see below), whose sum is σ = 182495480. Its totient is φ = 22806528.

The previous prime is 68431807. The next prime is 68431889. The reversal of 68431872 is 27813486.

It is a super-2 number, since 2×684318722 = 9365842210848768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68431872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9504 + ... + 15072.

Almost surely, 268431872 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 68431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91247740).

68431872 is an abundant number, since it is smaller than the sum of its proper divisors (114063608).

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

68431872 is an equidigital number, since it uses as much as digits as its factorization.

68431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5574 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 68431872 is about 8272.3558917638. The cubic root of 68431872 is about 409.0277817025.

The spelling of 68431872 in words is "sixty-eight million, four hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 5569 6144 11138 12288 16707 22276 33414 44552 66828 89104 133656 178208 267312 356416 534624 712832 1069248 1425664 2138496 2851328 4276992 5702656 8553984 11405312 17107968 22810624 34215936 68431872