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642147072 = 2837119447
BaseRepresentation
bin100110010001100…
…110001100000000
31122202022110011220
4212101212030000
52303342201242
6143415235040
721625105620
oct4621461400
91582273156
10642147072
112aa525666
1215b078a80
13a30647a8
14613d8880
153b595bec
hex26466300

642147072 has 72 divisors (see below), whose sum is σ = 1953213696. Its totient is φ = 183469056.

The previous prime is 642147071. The next prime is 642147089. The reversal of 642147072 is 270741246.

It is not an unprimeable number, because it can be changed into a prime (642147071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54348 + ... + 65099.

It is an arithmetic number, because the mean of its divisors is an integer number (27127968).

Almost surely, 2642147072 is an apocalyptic number.

It is an amenable number.

642147072 is an abundant number, since it is smaller than the sum of its proper divisors (1311066624).

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

642147072 is a wasteful number, since it uses less digits than its factorization.

642147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119473 (or 119459 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 642147072 is about 25340.6209868661. The cubic root of 642147072 is about 862.7364933508.

The spelling of 642147072 in words is "six hundred forty-two million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 119447 238894 358341 477788 716682 836129 955576 1433364 1672258 1911152 2508387 2866728 3344516 3822304 5016774 5733456 6689032 7644608 10033548 11466912 13378064 15289216 20067096 22933824 26756128 30578432 40134192 45867648 53512256 80268384 91735296 107024512 160536768 214049024 321073536 642147072