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147020448 = 25359101257
BaseRepresentation
bin10001100001101…
…01101010100000
3101020122102010210
420300311222200
5300114123243
622331054120
73433440021
oct1060655240
9336572123
10147020448
1175a97703
12412a1340
13245c7963
1415750c48
15cd91933
hex8c35aa0

147020448 has 96 divisors (see below), whose sum is σ = 397897920. Its totient is φ = 47513600.

The previous prime is 147020441. The next prime is 147020477. The reversal of 147020448 is 844020741.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (147020441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571936 + ... + 572192.

It is an arithmetic number, because the mean of its divisors is an integer number (4144770).

Almost surely, 2147020448 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 147020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198948960).

147020448 is an abundant number, since it is smaller than the sum of its proper divisors (250877472).

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

147020448 is a wasteful number, since it uses less digits than its factorization.

147020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 147020448 is about 12125.1988849668. The cubic root of 147020448 is about 527.7876786356.

The spelling of 147020448 in words is "one hundred forty-seven million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 101 118 177 202 236 257 303 354 404 472 514 606 708 771 808 944 1028 1212 1416 1542 1616 1888 2056 2424 2832 3084 3232 4112 4848 5664 5959 6168 8224 9696 11918 12336 15163 17877 23836 24672 25957 30326 35754 45489 47672 51914 60652 71508 77871 90978 95344 103828 121304 143016 155742 181956 190688 207656 242608 286032 311484 363912 415312 485216 572064 622968 727824 830624 1245936 1455648 1531463 2491872 3062926 4594389 6125852 9188778 12251704 18377556 24503408 36755112 49006816 73510224 147020448