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146300648 = 231359113211
BaseRepresentation
bin10001011100001…
…01111011101000
3101012021211202112
420232011323220
5244423110043
622303421452
73424351334
oct1056057350
9335254675
10146300648
117564592a
1240bb4888
1324405140
14156047c4
15cc9d518
hex8b85ee8

146300648 has 64 divisors (see below), whose sum is σ = 304516800. Its totient is φ = 65479680.

The previous prime is 146300647. The next prime is 146300659. The reversal of 146300648 is 846003641.

146300648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146300641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693263 + ... + 693473.

It is an arithmetic number, because the mean of its divisors is an integer number (4758075).

Almost surely, 2146300648 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 146300648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152258400).

146300648 is an abundant number, since it is smaller than the sum of its proper divisors (158216152).

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

146300648 is a wasteful number, since it uses less digits than its factorization.

146300648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 146300648 is about 12095.4804782613. The cubic root of 146300648 is about 526.9249341284.

The spelling of 146300648 in words is "one hundred forty-six million, three hundred thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 59 104 113 118 211 226 236 422 452 472 767 844 904 1469 1534 1688 2743 2938 3068 5486 5876 6136 6667 10972 11752 12449 13334 21944 23843 24898 26668 47686 49796 53336 86671 95372 99592 161837 173342 190744 309959 323674 346684 619918 647348 693368 1239836 1294696 1406737 2479672 2813474 5626948 11253896 18287581 36575162 73150324 146300648