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8454144 = 216343
BaseRepresentation
bin100000010000…
…000000000000
3120220111220110
4200100000000
54131013034
6501111320
7131600436
oct40200000
916814813
108454144
1148547a6
1229b8540
1319a006a
1411a0d56
15b1ede9
hex810000

8454144 has 68 divisors (see below), whose sum is σ = 23068496. Its totient is φ = 2752512.

The previous prime is 8454143. The next prime is 8454191. The reversal of 8454144 is 4414548.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8454143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196587 + ... + 196629.

Almost surely, 28454144 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 8454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534248).

8454144 is an abundant number, since it is smaller than the sum of its proper divisors (14614352).

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

8454144 is an frugal number, since it uses more digits than its factorization.

8454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 8454144 is about 2907.6010730497. The cubic root of 8454144 is about 203.7150963333.

The spelling of 8454144 in words is "eight million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4096 4128 5504 6144 8192 8256 11008 12288 16384 16512 22016 24576 32768 33024 44032 49152 65536 66048 88064 98304 132096 176128 196608 264192 352256 528384 704512 1056768 1409024 2113536 2818048 4227072 8454144