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147948032 = 291012861
BaseRepresentation
bin10001101000110…
…00001000000000
3101022101112112202
420310120020000
5300333314112
622403012332
73444352241
oct1064301000
9338345482
10147948032
1176570601
124166a0a8
1324860c1b
1415912cc8
15cec66c2
hex8d18200

147948032 has 40 divisors (see below), whose sum is σ = 298638252. Its totient is φ = 73216000.

The previous prime is 147948023. The next prime is 147948071. The reversal of 147948032 is 230849741.

It can be written as a sum of positive squares in 2 ways, for example, as 133079296 + 14868736 = 11536^2 + 3856^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50282 + ... + 53142.

Almost surely, 2147948032 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 147948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149319126).

147948032 is an abundant number, since it is smaller than the sum of its proper divisors (150690220).

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

147948032 is an equidigital number, since it uses as much as digits as its factorization.

147948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 147948032 is about 12163.3890014255. The cubic root of 147948032 is about 528.8953281967.

The spelling of 147948032 in words is "one hundred forty-seven million, nine hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1616 2861 3232 5722 6464 11444 12928 22888 25856 45776 51712 91552 183104 288961 366208 577922 732416 1155844 1464832 2311688 4623376 9246752 18493504 36987008 73974016 147948032