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148397328 = 24321030537
BaseRepresentation
bin10001101100001…
…01110100010000
3101100020100212100
420312011310100
5300442203303
622420400400
73451233162
oct1066056420
9340210770
10148397328
1176848122
1241846100
132498a591
14159cc932
15d0648a3
hex8d85d10

148397328 has 30 divisors (see below), whose sum is σ = 415306814. Its totient is φ = 49465728.

The previous prime is 148397309. The next prime is 148397339. The reversal of 148397328 is 823793841.

It can be written as a sum of positive squares in only one way, i.e., 78641424 + 69755904 = 8868^2 + 8352^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 515125 + ... + 515412.

Almost surely, 2148397328 is an apocalyptic number.

148397328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148397328 is an abundant number, since it is smaller than the sum of its proper divisors (266909486).

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

148397328 is a wasteful number, since it uses less digits than its factorization.

148397328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030551 (or 1030542 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 148397328 is about 12181.8441953589. The cubic root of 148397328 is about 529.4301790893.

The spelling of 148397328 in words is "one hundred forty-eight million, three hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1030537 2061074 3091611 4122148 6183222 8244296 9274833 12366444 16488592 18549666 24732888 37099332 49465776 74198664 148397328